86574640 has 40 divisors (see below), whose sum is σ = 211883760. Its totient is φ = 32806656.

The previous prime is 86574623. The next prime is 86574641. The reversal of 86574640 is 4647568.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×86574640² = 14990336582259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 86574593 and 86574602.

It is not an unprimeable number, because it can be changed into a prime (86574641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26959 + ... + 29998.

It is an arithmetic number, because the mean of its divisors is an integer number (5297094).

Almost surely, 2^86574640 is an apocalyptic number.

86574640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86574640 is an abundant number, since it is smaller than the sum of its proper divisors (125309120).

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

86574640 is a wasteful number, since it uses less digits than its factorization.

86574640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56989 (or 56983 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 86574640 is about 9304.5494248781. The cubic root of 86574640 is about 442.3814401426.

The spelling of 86574640 in words is "eighty-six million, five hundred seventy-four thousand, six hundred forty".