68412960 has 288 divisors, whose sum is σ = 291537792. Its totient is φ = 14192640.

The previous prime is 68412959. The next prime is 68412961. The reversal of 68412960 is 6921486.

It is an interprime number because it is at equal distance from previous prime (68412959) and next prime (68412961).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (68412961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110572 + ... + 111188.

It is an arithmetic number, because the mean of its divisors is an integer number (1012284).

Almost surely, 2^68412960 is an apocalyptic number.

68412960 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 68412960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145768896).

68412960 is an abundant number, since it is smaller than the sum of its proper divisors (223124832).

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

68412960 is a wasteful number, since it uses less digits than its factorization.

68412960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 68412960 is about 8271.2127284939. The cubic root of 68412960 is about 408.9900982572.

It can be divided in two parts, 6841 and 2960, that added together give a square (9801 = 99²).

The spelling of 68412960 in words is "sixty-eight million, four hundred twelve thousand, nine hundred sixty".