81625600 has 120 divisors (see below), whose sum is σ = 231378048. Its totient is φ = 27955200.

The previous prime is 81625541. The next prime is 81625601. The reversal of 81625600 is 652618.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (81625601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89145 + ... + 90055.

Almost surely, 2^81625600 is an apocalyptic number.

81625600 is a gapful number since it is divisible by the number (80) 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 81625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115689024).

81625600 is an abundant number, since it is smaller than the sum of its proper divisors (149752448).

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

81625600 is an equidigital number, since it uses as much as digits as its factorization.

81625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 81625600 is about 9034.6887052073. The cubic root of 81625600 is about 433.7859307992.

It can be divided in two parts, 81 and 625600, that added together give a square (625681 = 791²).

The spelling of 81625600 in words is "eighty-one million, six hundred twenty-five thousand, six hundred".