67978920 has 128 divisors (see below), whose sum is σ = 220838400. Its totient is φ = 16674816.

The previous prime is 67978907. The next prime is 67978921. The reversal of 67978920 is 2987976.

It is a super-2 number, since 2×67978920² = 9242267128732800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67978920.

It is not an unprimeable number, because it can be changed into a prime (67978921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95526 + ... + 96234.

It is an arithmetic number, because the mean of its divisors is an integer number (1725300).

Almost surely, 2^67978920 is an apocalyptic number.

67978920 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 67978920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110419200).

67978920 is an abundant number, since it is smaller than the sum of its proper divisors (152859480).

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

67978920 is a wasteful number, since it uses less digits than its factorization.

67978920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 67978920 is about 8244.9329894184. The cubic root of 67978920 is about 408.1233287300.

The spelling of 67978920 in words is "sixty-seven million, nine hundred seventy-eight thousand, nine hundred twenty".