81450600 has 384 divisors, whose sum is σ = 329978880. Its totient is φ = 16128000.

The previous prime is 81450583. The next prime is 81450601. The reversal of 81450600 is 605418.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (81450601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1894179 + ... + 1894221.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 2^81450600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81450600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

81450600 is an abundant number, since it is smaller than the sum of its proper divisors (248528280).

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

81450600 is a wasteful number, since it uses less digits than its factorization.

81450600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 81450600 is about 9024.9986149583. The cubic root of 81450600 is about 433.4757060122.

The spelling of 81450600 in words is "eighty-one million, four hundred fifty thousand, six hundred".