112897920 has 128 divisors (see below), whose sum is σ = 363479040. Its totient is φ = 29804544.

The previous prime is 112897913. The next prime is 112897927. The reversal of 112897920 is 29798211.

It is an interprime number because it is at equal distance from previous prime (112897913) and next prime (112897927).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112897927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243609 + ... + 244071.

It is an arithmetic number, because the mean of its divisors is an integer number (2839680).

Almost surely, 2^112897920 is an apocalyptic number.

112897920 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 112897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181739520).

112897920 is an abundant number, since it is smaller than the sum of its proper divisors (250581120).

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

112897920 is a wasteful number, since it uses less digits than its factorization.

112897920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 112897920 is about 10625.3432885719. The cubic root of 112897920 is about 483.3131892780.

The spelling of 112897920 in words is "one hundred twelve million, eight hundred ninety-seven thousand, nine hundred twenty".