10813632 has 56 divisors (see below), whose sum is σ = 30303216. Its totient is φ = 3391488.

The previous prime is 10813631. The next prime is 10813633. The reversal of 10813632 is 23631801.

It is an interprime number because it is at equal distance from previous prime (10813631) and next prime (10813633).

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

It is not an unprimeable number, because it can be changed into a prime (10813631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1608 + ... + 4920.

Almost surely, 2^10813632 is an apocalyptic number.

10813632 is a gapful number since it is divisible by the number (12) 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 10813632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15151608).

10813632 is an abundant number, since it is smaller than the sum of its proper divisors (19489584).

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

10813632 is a wasteful number, since it uses less digits than its factorization.

10813632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10813632 is about 3288.4087337191. The cubic root of 10813632 is about 221.1348521449.

The spelling of 10813632 in words is "ten million, eight hundred thirteen thousand, six hundred thirty-two".