81825600 has 84 divisors (see below), whose sum is σ = 268471904. Its totient is φ = 21818880.

The previous prime is 81825563. The next prime is 81825619. The reversal of 81825600 is 652818.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3724 + ... + 13323.

Almost surely, 2^81825600 is an apocalyptic number.

81825600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81825600 is an abundant number, since it is smaller than the sum of its proper divisors (186646304).

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

81825600 is a wasteful number, since it uses less digits than its factorization.

81825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17072 (or 17057 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 81825600 is about 9045.7503834674. The cubic root of 81825600 is about 434.1399309521.

The spelling of 81825600 in words is "eighty-one million, eight hundred twenty-five thousand, six hundred".