68362560 has 168 divisors, whose sum is σ = 268809216. Its totient is φ = 15621120.

The previous prime is 68362543. The next prime is 68362577. The reversal of 68362560 is 6526386.

68362560 is a `hidden beast` number, since 68 + 36 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (68362543) and next prime (68362577).

It is a tau number, because it is divible by the number of its divisors (168).

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18465 + ... + 21855.

Almost surely, 2^68362560 is an apocalyptic number.

68362560 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 68362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134404608).

68362560 is an abundant number, since it is smaller than the sum of its proper divisors (200446656).

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

68362560 is a wasteful number, since it uses less digits than its factorization.

68362560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 68362560 is about 8268.1654555288. The cubic root of 68362560 is about 408.8896389050.

The spelling of 68362560 in words is "sixty-eight million, three hundred sixty-two thousand, five hundred sixty".