867694464 has 512 divisors, whose sum is σ = 3290112000. Its totient is φ = 218972160.

The previous prime is 867694459. The next prime is 867694493. The reversal of 867694464 is 464496768.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 867694464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9749332 + ... + 9749420.

It is an arithmetic number, because the mean of its divisors is an integer number (6426000).

Almost surely, 2^867694464 is an apocalyptic number.

867694464 is a gapful number since it is divisible by the number (84) 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 867694464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645056000).

867694464 is an abundant number, since it is smaller than the sum of its proper divisors (2422417536).

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

867694464 is a wasteful number, since it uses less digits than its factorization.

867694464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 867694464 is about 29456.6539851355. The cubic root of 867694464 is about 953.7962461894.

The spelling of 867694464 in words is "eight hundred sixty-seven million, six hundred ninety-four thousand, four hundred sixty-four".