89552400 has 180 divisors, whose sum is σ = 333920592. Its totient is φ = 20455680.

The previous prime is 89552389. The next prime is 89552429. The reversal of 89552400 is 425598.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58039 + ... + 59561.

Almost surely, 2^89552400 is an apocalyptic number.

89552400 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 89552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166960296).

89552400 is an abundant number, since it is smaller than the sum of its proper divisors (244368192).

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

89552400 is a wasteful number, since it uses less digits than its factorization.

89552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 89552400 is about 9463.2129850279. The cubic root of 89552400 is about 447.3963223295.

Adding to 89552400 its reverse (425598), we get a palindrome (89977998).

The spelling of 89552400 in words is "eighty-nine million, five hundred fifty-two thousand, four hundred".