67642560 has 112 divisors (see below), whose sum is σ = 238658400. Its totient is φ = 18035712.

The previous prime is 67642559. The next prime is 67642571. The reversal of 67642560 is 6524676.

67642560 is a `hidden beast` number, since 6 + 7 + 642 + 5 + 6 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4726 + ... + 12554.

Almost surely, 2^67642560 is an apocalyptic number.

67642560 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 67642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119329200).

67642560 is an abundant number, since it is smaller than the sum of its proper divisors (171015840).

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

67642560 is a wasteful number, since it uses less digits than its factorization.

67642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7855 (or 7839 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 67642560 is about 8224.5097118309. The cubic root of 67642560 is about 407.4490834297.

The spelling of 67642560 in words is "sixty-seven million, six hundred forty-two thousand, five hundred sixty".