1036268640 has 288 divisors, whose sum is σ = 4002276096. Its totient is φ = 251112960.

The previous prime is 1036268633. The next prime is 1036268641. The reversal of 1036268640 is 468626301.

1036268640 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 2 + 6 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1036268640³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1036268595 and 1036268604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036268641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426469 + ... + 428891.

It is an arithmetic number, because the mean of its divisors is an integer number (13896792).

Almost surely, 2^1036268640 is an apocalyptic number.

1036268640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1036268640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001138048).

1036268640 is an abundant number, since it is smaller than the sum of its proper divisors (2966007456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1036268640 is a wasteful number, since it uses less digits than its factorization.

1036268640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1036268640 is about 32191.1267277180. The cubic root of 1036268640 is about 1011.9462651196.

The spelling of 1036268640 in words is "one billion, thirty-six million, two hundred sixty-eight thousand, six hundred forty".