67952664 has 96 divisors (see below), whose sum is σ = 208681200. Its totient is φ = 19802880.

The previous prime is 67952659. The next prime is 67952669. The reversal of 67952664 is 46625976.

67952664 is a `hidden beast` number, since 67 + 9 + 526 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (67952659) and next prime (67952669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67952669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15874 + ... + 19694.

Almost surely, 2^67952664 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 67952664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104340600).

67952664 is an abundant number, since it is smaller than the sum of its proper divisors (140728536).

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

67952664 is a wasteful number, since it uses less digits than its factorization.

67952664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3865 (or 3858 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 67952664 is about 8243.3405849813. The cubic root of 67952664 is about 408.0707778018.

The spelling of 67952664 in words is "sixty-seven million, nine hundred fifty-two thousand, six hundred sixty-four".