86606400 has 84 divisors (see below), whose sum is σ = 284156912. Its totient is φ = 23093760.

The previous prime is 86606393. The next prime is 86606407. The reversal of 86606400 is 460668.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86606393) and next prime (86606407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (86606407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4222 + ... + 13821.

Almost surely, 2^86606400 is an apocalyptic number.

86606400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86606400 is an abundant number, since it is smaller than the sum of its proper divisors (197550512).

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

86606400 is a wasteful number, since it uses less digits than its factorization.

86606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18068 (or 18053 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 86606400 is about 9306.2559603742. The cubic root of 86606400 is about 442.4355295649.

The spelling of 86606400 in words is "eighty-six million, six hundred six thousand, four hundred".