112071960 has 384 divisors, whose sum is σ = 490613760. Its totient is φ = 21427200.

The previous prime is 112071929. The next prime is 112071977. The reversal of 112071960 is 69170211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360205 + ... + 360515.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 2^112071960 is an apocalyptic number.

112071960 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 112071960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245306880).

112071960 is an abundant number, since it is smaller than the sum of its proper divisors (378541800).

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

112071960 is a wasteful number, since it uses less digits than its factorization.

112071960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 112071960 is about 10586.4044887771. The cubic root of 112071960 is about 482.1316651605.

The spelling of 112071960 in words is "one hundred twelve million, seventy-one thousand, nine hundred sixty".