81682400 has 36 divisors (see below), whose sum is σ = 199409112. Its totient is φ = 32672640.

The previous prime is 81682369. The next prime is 81682417. The reversal of 81682400 is 428618.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50252 + ... + 51851.

It is an arithmetic number, because the mean of its divisors is an integer number (5539142).

Almost surely, 2^81682400 is an apocalyptic number.

81682400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81682400 is an abundant number, since it is smaller than the sum of its proper divisors (117726712).

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

81682400 is a wasteful number, since it uses less digits than its factorization.

81682400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102123 (or 102110 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 81682400 is about 9037.8315983426. The cubic root of 81682400 is about 433.8865255798.

The spelling of 81682400 in words is "eighty-one million, six hundred eighty-two thousand, four hundred".