67189920 has 96 divisors (see below), whose sum is σ = 241895808. Its totient is φ = 15356928.

The previous prime is 67189879. The next prime is 67189921. The reversal of 67189920 is 2998176.

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 (42).

It is not an unprimeable number, because it can be changed into a prime (67189921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6639 + ... + 13358.

It is an arithmetic number, because the mean of its divisors is an integer number (2519748).

Almost surely, 2^67189920 is an apocalyptic number.

67189920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67189920 is an abundant number, since it is smaller than the sum of its proper divisors (174705888).

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

67189920 is a wasteful number, since it uses less digits than its factorization.

67189920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20022 (or 20014 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 67189920 is about 8196.9457726644. The cubic root of 67189920 is about 406.5382137823.

The spelling of 67189920 in words is "sixty-seven million, one hundred eighty-nine thousand, nine hundred twenty".