89001600 has 192 divisors, whose sum is σ = 299504640. Its totient is φ = 23224320.

The previous prime is 89001571. The next prime is 89001629. The reversal of 89001600 is 610098.

It is an interprime number because it is at equal distance from previous prime (89001571) and next prime (89001629).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 700737 + ... + 700863.

It is an arithmetic number, because the mean of its divisors is an integer number (1559920).

Almost surely, 2^89001600 is an apocalyptic number.

89001600 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 89001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149752320).

89001600 is an abundant number, since it is smaller than the sum of its proper divisors (210503040).

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

89001600 is a wasteful number, since it uses less digits than its factorization.

89001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 89001600 is about 9434.0659315059. The cubic root of 89001600 is about 446.4771850451.

Adding to 89001600 its reverse (610098), we get a palindrome (89611698).

The spelling of 89001600 in words is "eighty-nine million, one thousand, six hundred".