112927360 has 192 divisors, whose sum is σ = 339421320. Its totient is φ = 35610624.

The previous prime is 112927351. The next prime is 112927369. The reversal of 112927360 is 63729211.

It is an interprime number because it is at equal distance from previous prime (112927351) and next prime (112927369).

It can be written as a sum of positive squares in 4 ways, for example, as 50580544 + 62346816 = 7112^2 + 7896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112927369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407542 + ... + 407818.

Almost surely, 2^112927360 is an apocalyptic number.

112927360 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 112927360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169710660).

112927360 is an abundant number, since it is smaller than the sum of its proper divisors (226493960).

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

112927360 is a wasteful number, since it uses less digits than its factorization.

112927360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 112927360 is about 10626.7285652735. The cubic root of 112927360 is about 483.3551962630.

The spelling of 112927360 in words is "one hundred twelve million, nine hundred twenty-seven thousand, three hundred sixty".