667986264 has 160 divisors (see below), whose sum is σ = 2107607040. Its totient is φ = 195825600.

The previous prime is 667986251. The next prime is 667986269. The reversal of 667986264 is 462689766.

667986264 is a `hidden beast` number, since 6 + 6 + 7 + 9 + 8 + 626 + 4 = 666.

It is a super-3 number, since 3×667986264³ (a number of 27 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 667986264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667986269) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 219457 + ... + 222479.

It is an arithmetic number, because the mean of its divisors is an integer number (13172544).

Almost surely, 2^667986264 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 667986264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053803520).

667986264 is an abundant number, since it is smaller than the sum of its proper divisors (1439620776).

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

667986264 is a wasteful number, since it uses less digits than its factorization.

667986264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3070 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 667986264 is about 25845.4302343761. The cubic root of 667986264 is about 874.1564720803.

The spelling of 667986264 in words is "six hundred sixty-seven million, nine hundred eighty-six thousand, two hundred sixty-four".