112969680 has 80 divisors (see below), whose sum is σ = 351406080. Its totient is φ = 30022144.

The previous prime is 112969669. The next prime is 112969691. The reversal of 112969680 is 86969211.

It is an interprime number because it is at equal distance from previous prime (112969669) and next prime (112969691).

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91306 + ... + 92534.

It is an arithmetic number, because the mean of its divisors is an integer number (4392576).

Almost surely, 2^112969680 is an apocalyptic number.

112969680 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 112969680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175703040).

112969680 is an abundant number, since it is smaller than the sum of its proper divisors (238436400).

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

112969680 is a wasteful number, since it uses less digits than its factorization.

112969680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 112969680 is about 10628.7195842209. The cubic root of 112969680 is about 483.4155685152.

The spelling of 112969680 in words is "one hundred twelve million, nine hundred sixty-nine thousand, six hundred eighty".