67885920 has 72 divisors (see below), whose sum is σ = 231665616. Its totient is φ = 18102528.

The previous prime is 67885919. The next prime is 67885927. The reversal of 67885920 is 2958876.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67885927) 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, 22132 + ... + 25011.

It is an arithmetic number, because the mean of its divisors is an integer number (3217578).

Almost surely, 2^67885920 is an apocalyptic number.

67885920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67885920 is an abundant number, since it is smaller than the sum of its proper divisors (163779696).

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

67885920 is a wasteful number, since it uses less digits than its factorization.

67885920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47164 (or 47153 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 67885920 is about 8239.2912316534. The cubic root of 67885920 is about 407.9371298743.

The spelling of 67885920 in words is "sixty-seven million, eight hundred eighty-five thousand, nine hundred twenty".