68052960 has 240 divisors, whose sum is σ = 246985200. Its totient is φ = 17639424.

The previous prime is 68052949. The next prime is 68052977. The reversal of 68052960 is 6925086.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 764596 + ... + 764684.

It is an arithmetic number, because the mean of its divisors is an integer number (1029105).

Almost surely, 2^68052960 is an apocalyptic number.

68052960 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 68052960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123492600).

68052960 is an abundant number, since it is smaller than the sum of its proper divisors (178932240).

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

68052960 is a wasteful number, since it uses less digits than its factorization.

68052960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 68052960 is about 8249.4217979201. The cubic root of 68052960 is about 408.2714456626.

The spelling of 68052960 in words is "sixty-eight million, fifty-two thousand, nine hundred sixty".