89785520 has 80 divisors (see below), whose sum is σ = 229190688. Its totient is φ = 32440320.

The previous prime is 89785513. The next prime is 89785523. The reversal of 89785520 is 2558798.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×89785520² = 16122879203340800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (89785523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225962 + ... + 226358.

Almost surely, 2^89785520 is an apocalyptic number.

89785520 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 89785520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114595344).

89785520 is an abundant number, since it is smaller than the sum of its proper divisors (139405168).

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

89785520 is a wasteful number, since it uses less digits than its factorization.

89785520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 44.

The square root of 89785520 is about 9475.5221492011. The cubic root of 89785520 is about 447.7842019784.

The spelling of 89785520 in words is "eighty-nine million, seven hundred eighty-five thousand, five hundred twenty".