1036406880 has 384 divisors, whose sum is σ = 3832012800. Its totient is φ = 261273600.

The previous prime is 1036406873. The next prime is 1036406881. The reversal of 1036406880 is 886046301.

It is a happy number.

1036406880 is a `hidden beast` number, since 1 + 0 + 3 + 640 + 6 + 8 + 8 + 0 = 666.

It is a super-3 number, since 3×1036406880³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036406881) 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 63 ways as a sum of consecutive naturals, for example, 9508266 + ... + 9508374.

It is an arithmetic number, because the mean of its divisors is an integer number (9979200).

Almost surely, 2^1036406880 is an apocalyptic number.

1036406880 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 1036406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916006400).

1036406880 is an abundant number, since it is smaller than the sum of its proper divisors (2795605920).

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

1036406880 is a wasteful number, since it uses less digits than its factorization.

1036406880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1036406880 is about 32193.2738316562. The cubic root of 1036406880 is about 1011.9912615700.

The spelling of 1036406880 in words is "one billion, thirty-six million, four hundred six thousand, eight hundred eighty".