89960000 has 140 divisors (see below), whose sum is σ = 241619532. Its totient is φ = 33024000.

The previous prime is 89959997. The next prime is 89960009. The reversal of 89960000 is 6998.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 65674816 + 24285184 = 8104^2 + 4928^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89960009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 519914 + ... + 520086.

Almost surely, 2^89960000 is an apocalyptic number.

89960000 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 89960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120809766).

89960000 is an abundant number, since it is smaller than the sum of its proper divisors (151659532).

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

89960000 is a wasteful number, since it uses less digits than its factorization.

89960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 89960000 is about 9484.7245611035. The cubic root of 89960000 is about 448.0740736361.

Adding to 89960000 its reverse (6998), we get a palindrome (89966998).

The spelling of 89960000 in words is "eighty-nine million, nine hundred sixty thousand".