112074960 has 80 divisors (see below), whose sum is σ = 350263296. Its totient is φ = 29643264.

The previous prime is 112074947. The next prime is 112074973. The reversal of 112074960 is 69470211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112074947) and next prime (112074973).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28642 + ... + 32318.

Almost surely, 2^112074960 is an apocalyptic number.

112074960 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 112074960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175131648).

112074960 is an abundant number, since it is smaller than the sum of its proper divisors (238188336).

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

112074960 is a wasteful number, since it uses less digits than its factorization.

112074960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 112074960 is about 10586.5461789953. The cubic root of 112074960 is about 482.1359671051.

The spelling of 112074960 in words is "one hundred twelve million, seventy-four thousand, nine hundred sixty".