89404920 has 192 divisors, whose sum is σ = 321459840. Its totient is φ = 21369600.

The previous prime is 89404901. The next prime is 89404949. The reversal of 89404920 is 2940498.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423615 + ... + 423825.

It is an arithmetic number, because the mean of its divisors is an integer number (1674270).

Almost surely, 2^89404920 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 89404920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160729920).

89404920 is an abundant number, since it is smaller than the sum of its proper divisors (232054920).

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

89404920 is a wasteful number, since it uses less digits than its factorization.

89404920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 89404920 is about 9455.4174947487. The cubic root of 89404920 is about 447.1505881234.

The spelling of 89404920 in words is "eighty-nine million, four hundred four thousand, nine hundred twenty".