112646436 has 96 divisors (see below), whose sum is σ = 313098240. Its totient is φ = 30844800.

The previous prime is 112646431. The next prime is 112646461. The reversal of 112646436 is 634646211.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 112646397 and 112646406.

It is not an unprimeable number, because it can be changed into a prime (112646431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471205 + ... + 471443.

It is an arithmetic number, because the mean of its divisors is an integer number (3261440).

Almost surely, 2^112646436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112646436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156549120).

112646436 is an abundant number, since it is smaller than the sum of its proper divisors (200451804).

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

112646436 is a wasteful number, since it uses less digits than its factorization.

112646436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 463 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 112646436 is about 10613.5025321521. The cubic root of 112646436 is about 482.9540569017.

The spelling of 112646436 in words is "one hundred twelve million, six hundred forty-six thousand, four hundred thirty-six".