86180400 has 180 divisors, whose sum is σ = 307627632. Its totient is φ = 22325760.

The previous prime is 86180399. The next prime is 86180443. The reversal of 86180400 is 408168.

86180400 is a `hidden beast` number, since 8 + 618 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×86180400² = 14854122688320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132877 + ... + 133523.

Almost surely, 2^86180400 is an apocalyptic number.

86180400 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 86180400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153813816).

86180400 is an abundant number, since it is smaller than the sum of its proper divisors (221447232).

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

86180400 is a wasteful number, since it uses less digits than its factorization.

86180400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 86180400 is about 9283.3399162155. The cubic root of 86180400 is about 441.7089188643.

Adding to 86180400 its reverse (408168), we get a palindrome (86588568).

The spelling of 86180400 in words is "eighty-six million, one hundred eighty thousand, four hundred".