88553600 has 48 divisors (see below), whose sum is σ = 218762970. Its totient is φ = 35420160.

The previous prime is 88553573. The next prime is 88553603. The reversal of 88553600 is 635588.

It can be written as a sum of positive squares in 3 ways, for example, as 35904064 + 52649536 = 5992^2 + 7256^2 .

It is not an unprimeable number, because it can be changed into a prime (88553603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10637 + ... + 17036.

Almost surely, 2^88553600 is an apocalyptic number.

88553600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88553600 is an abundant number, since it is smaller than the sum of its proper divisors (130209370).

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

88553600 is a wasteful number, since it uses less digits than its factorization.

88553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27697 (or 27680 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 88553600 is about 9410.2922377576. The cubic root of 88553600 is about 445.7267927989.

The spelling of 88553600 in words is "eighty-eight million, five hundred fifty-three thousand, six hundred".