112824660 has 192 divisors, whose sum is σ = 374814720. Its totient is φ = 25090560.

The previous prime is 112824659. The next prime is 112824671. The reversal of 112824660 is 66428211.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 340695 + ... + 341025.

It is an arithmetic number, because the mean of its divisors is an integer number (1952160).

Almost surely, 2^112824660 is an apocalyptic number.

112824660 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 112824660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187407360).

112824660 is an abundant number, since it is smaller than the sum of its proper divisors (261990060).

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

112824660 is a wasteful number, since it uses less digits than its factorization.

112824660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 112824660 is about 10621.8953111015. The cubic root of 112824660 is about 483.2086252444.

The spelling of 112824660 in words is "one hundred twelve million, eight hundred twenty-four thousand, six hundred sixty".