112646400 has 108 divisors (see below), whose sum is σ = 371819952. Its totient is φ = 30033920.

The previous prime is 112646351. The next prime is 112646407. The reversal of 112646400 is 4646211.

It is a super-2 number, since 2×112646400² = 25378422865920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (112646407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16267 + ... + 22133.

Almost surely, 2^112646400 is an apocalyptic number.

112646400 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 112646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185909976).

112646400 is an abundant number, since it is smaller than the sum of its proper divisors (259173552).

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

112646400 is an equidigital number, since it uses as much as digits as its factorization.

112646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 112646400 is about 10613.5008361991. The cubic root of 112646400 is about 482.9540054535.

The spelling of 112646400 in words is "one hundred twelve million, six hundred forty-six thousand, four hundred".