82153600 has 48 divisors (see below), whose sum is σ = 202952970. Its totient is φ = 32860160.

The previous prime is 82153597. The next prime is 82153613. The reversal of 82153600 is 635128.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 72863296 + 9290304 = 8536^2 + 3048^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 9637 + ... + 16036.

Almost surely, 2^82153600 is an apocalyptic number.

82153600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82153600 is an abundant number, since it is smaller than the sum of its proper divisors (120799370).

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

82153600 is a wasteful number, since it uses less digits than its factorization.

82153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25697 (or 25680 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 82153600 is about 9063.8623113990. The cubic root of 82153600 is about 434.7192445630.

Adding to 82153600 its reverse (635128), we get a palindrome (82788728).

The spelling of 82153600 in words is "eighty-two million, one hundred fifty-three thousand, six hundred".