89983920 has 160 divisors (see below), whose sum is σ = 303980544. Its totient is φ = 21888000.

The previous prime is 89983919. The next prime is 89983939. The reversal of 89983920 is 2938998.

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 89983920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471025 + ... + 471215.

Almost surely, 2^89983920 is an apocalyptic number.

89983920 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 89983920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151990272).

89983920 is an abundant number, since it is smaller than the sum of its proper divisors (213996624).

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

89983920 is a wasteful number, since it uses less digits than its factorization.

89983920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 89983920 is about 9485.9854522343. The cubic root of 89983920 is about 448.1137838111.

The spelling of 89983920 in words is "eighty-nine million, nine hundred eighty-three thousand, nine hundred twenty".