86918400 has 216 divisors, whose sum is σ = 319354560. Its totient is φ = 23132160.

The previous prime is 86918393. The next prime is 86918411. The reversal of 86918400 is 481968.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 172549 + ... + 173051.

Almost surely, 2^86918400 is an apocalyptic number.

86918400 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 86918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159677280).

86918400 is an abundant number, since it is smaller than the sum of its proper divisors (232436160).

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

86918400 is a wasteful number, since it uses less digits than its factorization.

86918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 86918400 is about 9323.0038077864. The cubic root of 86918400 is about 442.9661849324.

The spelling of 86918400 in words is "eighty-six million, nine hundred eighteen thousand, four hundred".