89497600 has 168 divisors, whose sum is σ = 243779040. Its totient is φ = 32440320.

The previous prime is 89497591. The next prime is 89497609. The reversal of 89497600 is 679498.

It is an interprime number because it is at equal distance from previous prime (89497591) and next prime (89497609).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (89497609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3891189 + ... + 3891211.

Almost surely, 2^89497600 is an apocalyptic number.

89497600 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 89497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121889520).

89497600 is an abundant number, since it is smaller than the sum of its proper divisors (154281440).

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

89497600 is a wasteful number, since it uses less digits than its factorization.

89497600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 89497600 is about 9460.3171194205. The cubic root of 89497600 is about 447.3050449651.

The spelling of 89497600 in words is "eighty-nine million, four hundred ninety-seven thousand, six hundred".