112761936 has 160 divisors (see below), whose sum is σ = 377952000. Its totient is φ = 32175360.

The previous prime is 112761923. The next prime is 112761937. The reversal of 112761936 is 639167211.

112761936 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 619 + 36 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112761936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112761937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147796 + ... + 148556.

It is an arithmetic number, because the mean of its divisors is an integer number (2362200).

Almost surely, 2^112761936 is an apocalyptic number.

112761936 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 112761936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188976000).

112761936 is an abundant number, since it is smaller than the sum of its proper divisors (265190064).

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

112761936 is an equidigital number, since it uses as much as digits as its factorization.

112761936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 773 counting only the distinct ones).

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

The square root of 112761936 is about 10618.9423202125. The cubic root of 112761936 is about 483.1190632752.

The spelling of 112761936 in words is "one hundred twelve million, seven hundred sixty-one thousand, nine hundred thirty-six".