67566960 has 100 divisors (see below), whose sum is σ = 234692568. Its totient is φ = 18016128.

The previous prime is 67566943. The next prime is 67567007. The reversal of 67566960 is 6966576.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 19 ways as a sum of consecutive naturals, for example, 1267 + ... + 11693.

Almost surely, 2^67566960 is an apocalyptic number.

67566960 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 67566960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117346284).

67566960 is an abundant number, since it is smaller than the sum of its proper divisors (167125608).

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

67566960 is a wasteful number, since it uses less digits than its factorization.

67566960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10452 (or 10437 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 67566960 is about 8219.9124082924. The cubic root of 67566960 is about 407.2972331082.

The spelling of 67566960 in words is "sixty-seven million, five hundred sixty-six thousand, nine hundred sixty".