68087520 has 96 divisors (see below), whose sum is σ = 238321440. Its totient is φ = 18155520.

The previous prime is 68087519. The next prime is 68087543. The reversal of 68087520 is 2578086.

It is a tau number, because it is divible by the number of its divisors (96).

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3561 + ... + 12200.

It is an arithmetic number, because the mean of its divisors is an integer number (2482515).

Almost surely, 2^68087520 is an apocalyptic number.

68087520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68087520 is an abundant number, since it is smaller than the sum of its proper divisors (170233920).

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

68087520 is a wasteful number, since it uses less digits than its factorization.

68087520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15785 (or 15771 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 68087520 is about 8251.5162243069. The cubic root of 68087520 is about 408.3405461265.

The spelling of 68087520 in words is "sixty-eight million, eighty-seven thousand, five hundred twenty".