112457670 has 96 divisors (see below), whose sum is σ = 299938464. Its totient is φ = 26956800.

The previous prime is 112457659. The next prime is 112457671. The reversal of 112457670 is 76754211.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112457671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207600 + ... + 208140.

It is an arithmetic number, because the mean of its divisors is an integer number (3124359).

Almost surely, 2^112457670 is an apocalyptic number.

112457670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112457670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149969232).

112457670 is an abundant number, since it is smaller than the sum of its proper divisors (187480794).

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

112457670 is a wasteful number, since it uses less digits than its factorization.

112457670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 112457670 is about 10604.6060747206. The cubic root of 112457670 is about 482.6841377952.

It can be divided in two parts, 11245 and 7670, that added together give a triangular number (18915 = T₁₉₄).

The spelling of 112457670 in words is "one hundred twelve million, four hundred fifty-seven thousand, six hundred seventy".