1036128240 has 640 divisors, whose sum is σ = 4499712000. Its totient is φ = 213663744.

The previous prime is 1036128199. The next prime is 1036128241. The reversal of 1036128240 is 428216301.

1036128240 is a `hidden beast` number, since 1 + 0 + 3 + 612 + 8 + 2 + 40 = 666.

It is a super-3 number, since 3×1036128240³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036128241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7454091 + ... + 7454229.

It is an arithmetic number, because the mean of its divisors is an integer number (7030800).

Almost surely, 2^1036128240 is an apocalyptic number.

1036128240 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 1036128240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249856000).

1036128240 is an abundant number, since it is smaller than the sum of its proper divisors (3463583760).

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

1036128240 is a wasteful number, since it uses less digits than its factorization.

1036128240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1036128240 is about 32188.9459286880. The cubic root of 1036128240 is about 1011.9005615034.

The spelling of 1036128240 in words is "one billion, thirty-six million, one hundred twenty-eight thousand, two hundred forty".