68526960 has 80 divisors (see below), whose sum is σ = 218203296. Its totient is φ = 17777664.

The previous prime is 68526937. The next prime is 68526961. The reversal of 68526960 is 6962586.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×68526960³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68526961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5022 + ... + 12738.

Almost surely, 2^68526960 is an apocalyptic number.

68526960 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 68526960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109101648).

68526960 is an abundant number, since it is smaller than the sum of its proper divisors (149676336).

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

68526960 is a wasteful number, since it uses less digits than its factorization.

68526960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7770 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 68526960 is about 8278.1012315627. The cubic root of 68526960 is about 409.2171458680.

The spelling of 68526960 in words is "sixty-eight million, five hundred twenty-six thousand, nine hundred sixty".