67920000 has 160 divisors (see below), whose sum is σ = 226240080. Its totient is φ = 18048000.

The previous prime is 67919953. The next prime is 67920007. The reversal of 67920000 is 2976.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×67920000² = 9226252800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (67920007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239859 + ... + 240141.

Almost surely, 2^67920000 is an apocalyptic number.

67920000 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 67920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113120040).

67920000 is an abundant number, since it is smaller than the sum of its proper divisors (158320080).

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

67920000 is an equidigital number, since it uses as much as digits as its factorization.

67920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 67920000 is about 8241.3591112146. The cubic root of 67920000 is about 408.0053824742.

Adding to 67920000 its reverse (2976), we get a palindrome (67922976).

The spelling of 67920000 in words is "sixty-seven million, nine hundred twenty thousand".