112629240 has 96 divisors (see below), whose sum is σ = 373014720. Its totient is φ = 29462784.

The previous prime is 112629227. The next prime is 112629263. The reversal of 112629240 is 42926211.

112629240 is a `hidden beast` number, since 1 + 12 + 629 + 24 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16129 + ... + 22031.

It is an arithmetic number, because the mean of its divisors is an integer number (3885570).

Almost surely, 2^112629240 is an apocalyptic number.

112629240 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 112629240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186507360).

112629240 is an abundant number, since it is smaller than the sum of its proper divisors (260385480).

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

112629240 is a wasteful number, since it uses less digits than its factorization.

112629240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5973 (or 5966 counting only the distinct ones).

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

The square root of 112629240 is about 10612.6924010828. The cubic root of 112629240 is about 482.9294805934.

It can be divided in two parts, 11262 and 9240, that added together give a palindrome (20502).

The spelling of 112629240 in words is "one hundred twelve million, six hundred twenty-nine thousand, two hundred forty".