67921920 has 288 divisors, whose sum is σ = 260638560. Its totient is φ = 16220160.

The previous prime is 67921883. The next prime is 67921943. The reversal of 67921920 is 2912976.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×67921920² = 9226774432972800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1013727 + ... + 1013793.

It is an arithmetic number, because the mean of its divisors is an integer number (904995).

Almost surely, 2^67921920 is an apocalyptic number.

67921920 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 67921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130319280).

67921920 is an abundant number, since it is smaller than the sum of its proper divisors (192716640).

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

67921920 is a wasteful number, since it uses less digits than its factorization.

67921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 67921920 is about 8241.4755960325. The cubic root of 67921920 is about 408.0092270116.

The spelling of 67921920 in words is "sixty-seven million, nine hundred twenty-one thousand, nine hundred twenty".