112654080 has 432 divisors, whose sum is σ = 489775104. Its totient is φ = 23224320.

The previous prime is 112654051. The next prime is 112654081. The reversal of 112654080 is 80456211.

112654080 is a `hidden beast` number, since 1 + 1 + 2 + 654 + 0 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112654081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 886977 + ... + 887103.

Almost surely, 2^112654080 is an apocalyptic number.

112654080 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 112654080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244887552).

112654080 is an abundant number, since it is smaller than the sum of its proper divisors (377121024).

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

112654080 is a wasteful number, since it uses less digits than its factorization.

112654080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 112654080 is about 10613.8626333677. The cubic root of 112654080 is about 482.9649808079.

The spelling of 112654080 in words is "one hundred twelve million, six hundred fifty-four thousand, eighty".