112904064 has 256 divisors, whose sum is σ = 411264000. Its totient is φ = 29693952.

The previous prime is 112904039. The next prime is 112904083. The reversal of 112904064 is 460409211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314317 + ... + 314675.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 2^112904064 is an apocalyptic number.

112904064 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 112904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632000).

112904064 is an abundant number, since it is smaller than the sum of its proper divisors (298359936).

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

112904064 is a wasteful number, since it uses less digits than its factorization.

112904064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 112904064 is about 10625.6324047089. The cubic root of 112904064 is about 483.3219565561.

The spelling of 112904064 in words is "one hundred twelve million, nine hundred four thousand, sixty-four".