67979264 has 48 divisors (see below), whose sum is σ = 143161200. Its totient is φ = 32182272.

The previous prime is 67979257. The next prime is 67979287. The reversal of 67979264 is 46297976.

It is a super-3 number, since 3×67979264³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38039 + ... + 39785.

It is an arithmetic number, because the mean of its divisors is an integer number (2982525).

Almost surely, 2^67979264 is an apocalyptic number.

67979264 is a gapful number since it is divisible by the number (64) 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 67979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71580600).

67979264 is an abundant number, since it is smaller than the sum of its proper divisors (75181936).

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

67979264 is a wasteful number, since it uses less digits than its factorization.

67979264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1768 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 50.

The square root of 67979264 is about 8244.9538506895. The cubic root of 67979264 is about 408.1240171502.

It can be divided in two parts, 6797 and 9264, that added together give a palindrome (16061).

The spelling of 67979264 in words is "sixty-seven million, nine hundred seventy-nine thousand, two hundred sixty-four".