81059200 has 96 divisors (see below), whose sum is σ = 203569560. Its totient is φ = 31887360.

The previous prime is 81059197. The next prime is 81059233. The reversal of 81059200 is 295018.

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

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, 233427 + ... + 233773.

Almost surely, 2^81059200 is an apocalyptic number.

81059200 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 81059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101784780).

81059200 is an abundant number, since it is smaller than the sum of its proper divisors (122510360).

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

81059200 is a wasteful number, since it uses less digits than its factorization.

81059200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 81059200 is about 9003.2882881756. The cubic root of 81059200 is about 432.7802542803.

The spelling of 81059200 in words is "eighty-one million, fifty-nine thousand, two hundred".