1117579904 has 64 divisors (see below), whose sum is σ = 2568490560. Its totient is φ = 474445824.

The previous prime is 1117579843. The next prime is 1117579909. The reversal of 1117579904 is 4099757111.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1117579909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90044 + ... + 101700.

It is an arithmetic number, because the mean of its divisors is an integer number (40132665).

Almost surely, 2^1117579904 is an apocalyptic number.

1117579904 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 1117579904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284245280).

1117579904 is an abundant number, since it is smaller than the sum of its proper divisors (1450910656).

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

1117579904 is a wasteful number, since it uses less digits than its factorization.

1117579904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11785 (or 11773 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 44.

The square root of 1117579904 is about 33430.2244084601. The cubic root of 1117579904 is about 1037.7502848822.

The spelling of 1117579904 in words is "one billion, one hundred seventeen million, five hundred seventy-nine thousand, nine hundred four".