86910400 has 42 divisors (see below), whose sum is σ = 213857840. Its totient is φ = 34763520.

The previous prime is 86910377. The next prime is 86910433. The reversal of 86910400 is 401968.

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 5 ways as a sum of consecutive naturals, for example, 25560 + ... + 28759.

Almost surely, 2^86910400 is an apocalyptic number.

86910400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86910400 is an abundant number, since it is smaller than the sum of its proper divisors (126947440).

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

86910400 is a wasteful number, since it uses less digits than its factorization.

86910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54341 (or 54326 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 86910400 is about 9322.5747516445. The cubic root of 86910400 is about 442.9525942611.

The spelling of 86910400 in words is "eighty-six million, nine hundred ten thousand, four hundred".