67249920 has 144 divisors (see below), whose sum is σ = 218397312. Its totient is φ = 17633280.

The previous prime is 67249901. The next prime is 67249921. The reversal of 67249920 is 2994276.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67249921) 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, 318615 + ... + 318825.

It is an arithmetic number, because the mean of its divisors is an integer number (1516648).

Almost surely, 2^67249920 is an apocalyptic number.

67249920 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 67249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109198656).

67249920 is an abundant number, since it is smaller than the sum of its proper divisors (151147392).

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

67249920 is a wasteful number, since it uses less digits than its factorization.

67249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 67249920 is about 8200.6048557408. The cubic root of 67249920 is about 406.6591894472.

The spelling of 67249920 in words is "sixty-seven million, two hundred forty-nine thousand, nine hundred twenty".