1036738560 has 448 divisors, whose sum is σ = 3963375360. Its totient is φ = 228065280.

The previous prime is 1036738559. The next prime is 1036738579. The reversal of 1036738560 is 658376301.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17571811 + ... + 17571869.

It is an arithmetic number, because the mean of its divisors is an integer number (8846820).

Almost surely, 2^1036738560 is an apocalyptic number.

1036738560 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 1036738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981687680).

1036738560 is an abundant number, since it is smaller than the sum of its proper divisors (2926636800).

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

1036738560 is a wasteful number, since it uses less digits than its factorization.

1036738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 1036738560 is about 32198.4248061920. The cubic root of 1036738560 is about 1012.0992054892.

The spelling of 1036738560 in words is "one billion, thirty-six million, seven hundred thirty-eight thousand, five hundred sixty".