67916016 has 160 divisors (see below), whose sum is σ = 229191680. Its totient is φ = 18849024.

The previous prime is 67915993. The next prime is 67916027. The reversal of 67916016 is 61061976.

It is a super-2 number, since 2×67916016² = 9225170458624512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111585 + ... + 112191.

It is an arithmetic number, because the mean of its divisors is an integer number (1432448).

Almost surely, 2^67916016 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 67916016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114595840).

67916016 is an abundant number, since it is smaller than the sum of its proper divisors (161275664).

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

67916016 is a wasteful number, since it uses less digits than its factorization.

67916016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 656 counting only the distinct ones).

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

The square root of 67916016 is about 8241.1173999646. The cubic root of 67916016 is about 407.9974048278.

The spelling of 67916016 in words is "sixty-seven million, nine hundred sixteen thousand, sixteen".