112613760 has 512 divisors, whose sum is σ = 489600000. Its totient is φ = 24385536.

The previous prime is 112613737. The next prime is 112613777. The reversal of 112613760 is 67316211.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5927031 + ... + 5927049.

It is an arithmetic number, because the mean of its divisors is an integer number (956250).

Almost surely, 2^112613760 is an apocalyptic number.

112613760 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 112613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244800000).

112613760 is an abundant number, since it is smaller than the sum of its proper divisors (376986240).

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

112613760 is an equidigital number, since it uses as much as digits as its factorization.

112613760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 112613760 is about 10611.9630606217. The cubic root of 112613760 is about 482.9073546314.

Adding to 112613760 its reverse (67316211), we get a palindrome (179929971).

The spelling of 112613760 in words is "one hundred twelve million, six hundred thirteen thousand, seven hundred sixty".