86906400 has 216 divisors, whose sum is σ = 329510160. Its totient is φ = 19837440.

The previous prime is 86906383. The next prime is 86906401. The reversal of 86906400 is 460968.

It is not an unprimeable number, because it can be changed into a prime (86906401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117231 + ... + 117969.

It is an arithmetic number, because the mean of its divisors is an integer number (1525510).

Almost surely, 2^86906400 is an apocalyptic number.

86906400 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 86906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164755080).

86906400 is an abundant number, since it is smaller than the sum of its proper divisors (242603760).

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

86906400 is a wasteful number, since it uses less digits than its factorization.

86906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 86906400 is about 9322.3602161684. The cubic root of 86906400 is about 442.9457986127.

The spelling of 86906400 in words is "eighty-six million, nine hundred six thousand, four hundred".