89977500 has 240 divisors, whose sum is σ = 307901440. Its totient is φ = 22680000.

The previous prime is 89977471. The next prime is 89977507. The reversal of 89977500 is 577998.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89977507) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2092479 + ... + 2092521.

Almost surely, 2^89977500 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 89977500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153950720).

89977500 is an abundant number, since it is smaller than the sum of its proper divisors (217923940).

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

89977500 is a wasteful number, since it uses less digits than its factorization.

89977500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 89977500 is about 9485.6470522574. The cubic root of 89977500 is about 448.1031265036.

The spelling of 89977500 in words is "eighty-nine million, nine hundred seventy-seven thousand, five hundred".