112961376 has 144 divisors (see below), whose sum is σ = 354161808. Its totient is φ = 33868800.

The previous prime is 112961353. The next prime is 112961419. The reversal of 112961376 is 673169211.

112961376 is a `hidden beast` number, since 11 + 29 + 613 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112961376.

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, 573310 + ... + 573506.

It is an arithmetic number, because the mean of its divisors is an integer number (2459457).

Almost surely, 2^112961376 is an apocalyptic number.

112961376 is a gapful number since it is divisible by the number (16) 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 112961376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177080904).

112961376 is an abundant number, since it is smaller than the sum of its proper divisors (241200432).

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

112961376 is a wasteful number, since it uses less digits than its factorization.

112961376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 394 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 112961376 is about 10628.3289373259. The cubic root of 112961376 is about 483.4037235044.

The spelling of 112961376 in words is "one hundred twelve million, nine hundred sixty-one thousand, three hundred seventy-six".