68652960 has 96 divisors (see below), whose sum is σ = 217873152. Its totient is φ = 18170880.

The previous prime is 68652959. The next prime is 68652971. The reversal of 68652960 is 6925686.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74905 + ... + 75815.

It is an arithmetic number, because the mean of its divisors is an integer number (2269512).

Almost surely, 2^68652960 is an apocalyptic number.

68652960 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 68652960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108936576).

68652960 is an abundant number, since it is smaller than the sum of its proper divisors (149220192).

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

68652960 is a wasteful number, since it uses less digits than its factorization.

68652960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 68652960 is about 8285.7081773376. The cubic root of 68652960 is about 409.4678004561.

The spelling of 68652960 in words is "sixty-eight million, six hundred fifty-two thousand, nine hundred sixty".