67980416 has 64 divisors (see below), whose sum is σ = 163918080. Its totient is φ = 27414528.

The previous prime is 67980389. The next prime is 67980439. The reversal of 67980416 is 61408976.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13001 + ... + 17463.

It is an arithmetic number, because the mean of its divisors is an integer number (2561220).

Almost surely, 2^67980416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81959040).

67980416 is an abundant number, since it is smaller than the sum of its proper divisors (95937664).

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

67980416 is a wasteful number, since it uses less digits than its factorization.

67980416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4501 (or 4489 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 67980416 is about 8245.0237113061. The cubic root of 67980416 is about 408.1263225405.

The spelling of 67980416 in words is "sixty-seven million, nine hundred eighty thousand, four hundred sixteen".