89785920 has 224 divisors, whose sum is σ = 337084416. Its totient is φ = 19814400.

The previous prime is 89785919. The next prime is 89785921. The reversal of 89785920 is 2958798.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89785919) and next prime (89785921).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×89785920² = 16123022860492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 89785920.

It is not an unprimeable number, because it can be changed into a prime (89785921) 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, 208105 + ... + 208535.

Almost surely, 2^89785920 is an apocalyptic number.

89785920 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 89785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168542208).

89785920 is an abundant number, since it is smaller than the sum of its proper divisors (247298496).

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

89785920 is a wasteful number, since it uses less digits than its factorization.

89785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 89785920 is about 9475.5432561938. The cubic root of 89785920 is about 447.7848669461.

The spelling of 89785920 in words is "eighty-nine million, seven hundred eighty-five thousand, nine hundred twenty".