86074667400 has 96 divisors (see below), whose sum is σ = 267294990240. Its totient is φ = 22913372160.

The previous prime is 86074667387. The next prime is 86074667417. The reversal of 86074667400 is 476647068.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 86074667400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221887 + ... + 470513.

It is an arithmetic number, because the mean of its divisors is an integer number (2784322815).

Almost surely, 2^86074667400 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 86074667400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133647495120).

86074667400 is an abundant number, since it is smaller than the sum of its proper divisors (181220322840).

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

86074667400 is a wasteful number, since it uses less digits than its factorization.

86074667400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249223 (or 249214 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 86074667400 in words is "eighty-six billion, seventy-four million, six hundred sixty-seven thousand, four hundred".