68536080 has 60 divisors (see below), whose sum is σ = 230169420. Its totient is φ = 18276096.

The previous prime is 68536079. The next prime is 68536081. The reversal of 68536080 is 8063586.

It is an interprime number because it is at equal distance from previous prime (68536079) and next prime (68536081).

It can be written as a sum of positive squares in 2 ways, for example, as 19927296 + 48608784 = 4464^2 + 6972^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 (68536081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46875 + ... + 48314.

It is an arithmetic number, because the mean of its divisors is an integer number (3836157).

Almost surely, 2^68536080 is an apocalyptic number.

68536080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68536080 is an abundant number, since it is smaller than the sum of its proper divisors (161633340).

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

68536080 is a wasteful number, since it uses less digits than its factorization.

68536080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95208 (or 95199 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 68536080 is about 8278.6520641950. The cubic root of 68536080 is about 409.2352987956.

The spelling of 68536080 in words is "sixty-eight million, five hundred thirty-six thousand, eighty".