68280960 has 256 divisors, whose sum is σ = 245877120. Its totient is φ = 15974400.

The previous prime is 68280943. The next prime is 68280977. The reversal of 68280960 is 6908286.

68280960 = T₂₁₉ + T₂₂₀ + ... + T₇₄₈.

It is an interprime number because it is at equal distance from previous prime (68280943) and next prime (68280977).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1119330 + ... + 1119390.

Almost surely, 2^68280960 is an apocalyptic number.

68280960 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 68280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122938560).

68280960 is an abundant number, since it is smaller than the sum of its proper divisors (177596160).

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

68280960 is a wasteful number, since it uses less digits than its factorization.

68280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 68280960 is about 8263.2293929190. The cubic root of 68280960 is about 408.7268856927.

The spelling of 68280960 in words is "sixty-eight million, two hundred eighty thousand, nine hundred sixty".