86553800 has 48 divisors (see below), whose sum is σ = 213083460. Its totient is φ = 32583680.

The previous prime is 86553799. The next prime is 86553821. The reversal of 86553800 is 835568.

It can be written as a sum of positive squares in 6 ways, for example, as 18028516 + 68525284 = 4246^2 + 8278^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9329 + ... + 16128.

Almost surely, 2^86553800 is an apocalyptic number.

It is an amenable number.

86553800 is an abundant number, since it is smaller than the sum of its proper divisors (126529660).

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

86553800 is a wasteful number, since it uses less digits than its factorization.

86553800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25490 (or 25481 counting only the distinct ones).

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

The square root of 86553800 is about 9303.4294751989. The cubic root of 86553800 is about 442.3459410285.

The spelling of 86553800 in words is "eighty-six million, five hundred fifty-three thousand, eight hundred".