112164624 has 180 divisors, whose sum is σ = 371694960. Its totient is φ = 31299840.

The previous prime is 112164617. The next prime is 112164659. The reversal of 112164624 is 426461211.

112164624 is a `hidden beast` number, since 1 + 12 + 1 + 646 + 2 + 4 = 666.

It is a super-3 number, since 3×112164624³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 267487 + ... + 267905.

It is an arithmetic number, because the mean of its divisors is an integer number (2064972).

Almost surely, 2^112164624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112164624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185847480).

112164624 is an abundant number, since it is smaller than the sum of its proper divisors (259530336).

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

112164624 is a wasteful number, since it uses less digits than its factorization.

112164624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 448 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 112164624 is about 10590.7801412361. The cubic root of 112164624 is about 482.2645082051.

The spelling of 112164624 in words is "one hundred twelve million, one hundred sixty-four thousand, six hundred twenty-four".