86495400 has 144 divisors (see below), whose sum is σ = 300678300. Its totient is φ = 22256640.

The previous prime is 86495393. The next prime is 86495419. The reversal of 86495400 is 459468.

86495400 is a `hidden beast` number, since 8 + 649 + 5 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 24621444 + 61873956 = 4962^2 + 7866^2 .

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

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, 51372 + ... + 53028.

Almost surely, 2^86495400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86495400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150339150).

86495400 is an abundant number, since it is smaller than the sum of its proper divisors (214182900).

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

86495400 is a wasteful number, since it uses less digits than its factorization.

86495400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 86495400 is about 9300.2903180492. The cubic root of 86495400 is about 442.2464313779.

The spelling of 86495400 in words is "eighty-six million, four hundred ninety-five thousand, four hundred".