89505700 has 36 divisors (see below), whose sum is σ = 195498772. Its totient is φ = 35568000.

The previous prime is 89505679. The next prime is 89505707. The reversal of 89505700 is 750598.

It can be written as a sum of positive squares in 6 ways, for example, as 278784 + 89226916 = 528^2 + 9446^2 .

It is a super-2 number, since 2×89505700² = 16022540664980000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89505707) 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, 12850 + ... + 18550.

Almost surely, 2^89505700 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 89505700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97749386).

89505700 is an abundant number, since it is smaller than the sum of its proper divisors (105993072).

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

89505700 is a wasteful number, since it uses less digits than its factorization.

89505700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5872 (or 5865 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

The square root of 89505700 is about 9460.7452137768. The cubic root of 89505700 is about 447.3185390386.

The spelling of 89505700 in words is "eighty-nine million, five hundred five thousand, seven hundred".