81588000 has 192 divisors, whose sum is σ = 288392832. Its totient is φ = 20044800.

The previous prime is 81587983. The next prime is 81588007. The reversal of 81588000 is 88518.

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

It is not an unprimeable number, because it can be changed into a prime (81588007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155739 + ... + 156261.

It is an arithmetic number, because the mean of its divisors is an integer number (1502046).

Almost surely, 2^81588000 is an apocalyptic number.

81588000 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 81588000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144196416).

81588000 is an abundant number, since it is smaller than the sum of its proper divisors (206804832).

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

81588000 is a wasteful number, since it uses less digits than its factorization.

81588000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 81588000 is about 9032.6075969235. The cubic root of 81588000 is about 433.7193142147.

The spelling of 81588000 in words is "eighty-one million, five hundred eighty-eight thousand".