68664960 has 384 divisors, whose sum is σ = 294053760. Its totient is φ = 14376960.

The previous prime is 68664931. The next prime is 68664971. The reversal of 68664960 is 6946686.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524095 + ... + 524225.

It is an arithmetic number, because the mean of its divisors is an integer number (765765).

Almost surely, 2^68664960 is an apocalyptic number.

68664960 is a gapful number since it is divisible by the number (60) 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 68664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147026880).

68664960 is an abundant number, since it is smaller than the sum of its proper divisors (225388800).

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

68664960 is a wasteful number, since it uses less digits than its factorization.

68664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 68664960 is about 8286.4322841619. The cubic root of 68664960 is about 409.4916563217.

The spelling of 68664960 in words is "sixty-eight million, six hundred sixty-four thousand, nine hundred sixty".