1036788480 has 864 divisors, whose sum is σ = 4714085376. Its totient is φ = 204374016.

The previous prime is 1036788383. The next prime is 1036788517. The reversal of 1036788480 is 848876301.

1036788480 is a `hidden beast` number, since 103 + 67 + 8 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24111339 + ... + 24111381.

Almost surely, 2^1036788480 is an apocalyptic number.

1036788480 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 1036788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357042688).

1036788480 is an abundant number, since it is smaller than the sum of its proper divisors (3677296896).

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

1036788480 is a wasteful number, since it uses less digits than its factorization.

1036788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1036788480 is about 32199.1999900619. The cubic root of 1036788480 is about 1012.1154497586.

The spelling of 1036788480 in words is "one billion, thirty-six million, seven hundred eighty-eight thousand, four hundred eighty".