1087115904 has 192 divisors, whose sum is σ = 3708344640. Its totient is φ = 310542336.

The previous prime is 1087115903. The next prime is 1087115929. The reversal of 1087115904 is 4095117801.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (1087115903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215232 + ... + 220224.

It is an arithmetic number, because the mean of its divisors is an integer number (19314295).

Almost surely, 2^1087115904 is an apocalyptic number.

1087115904 is a gapful number since it is divisible by the number (14) 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 1087115904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854172320).

1087115904 is an abundant number, since it is smaller than the sum of its proper divisors (2621228736).

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

1087115904 is an frugal number, since it uses more digits than its factorization.

1087115904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5029 (or 5005 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 1087115904 is about 32971.4407328524. The cubic root of 1087115904 is about 1028.2339750147.

The spelling of 1087115904 in words is "one billion, eighty-seven million, one hundred fifteen thousand, nine hundred four".