68524560 has 120 divisors (see below), whose sum is σ = 247864344. Its totient is φ = 16865280.

The previous prime is 68524559. The next prime is 68524579. The reversal of 68524560 is 6542586.

It can be written as a sum of positive squares in 4 ways, for example, as 4460544 + 64064016 = 2112^2 + 8004^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 5700 + ... + 13020.

Almost surely, 2^68524560 is an apocalyptic number.

68524560 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 68524560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123932172).

68524560 is an abundant number, since it is smaller than the sum of its proper divisors (179339784).

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

68524560 is a wasteful number, since it uses less digits than its factorization.

68524560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7353 (or 7344 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 68524560 is about 8277.9562695148. The cubic root of 68524560 is about 409.2123685142.

The spelling of 68524560 in words is "sixty-eight million, five hundred twenty-four thousand, five hundred sixty".