67416864 has 96 divisors (see below), whose sum is σ = 194503680. Its totient is φ = 20351232.

The previous prime is 67416863. The next prime is 67416907. The reversal of 67416864 is 46861476.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (67416863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41149 + ... + 42755.

It is an arithmetic number, because the mean of its divisors is an integer number (2026080).

Almost surely, 2^67416864 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 67416864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97251840).

67416864 is an abundant number, since it is smaller than the sum of its proper divisors (127086816).

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

67416864 is a wasteful number, since it uses less digits than its factorization.

67416864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1654 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 67416864 is about 8210.7773079045. Note that the first 3 decimals coincide. The cubic root of 67416864 is about 406.9954139462.

It can be divided in two parts, 67416 and 864, that multiplied together give a square (58247424 = 7632²).

The spelling of 67416864 in words is "sixty-seven million, four hundred sixteen thousand, eight hundred sixty-four".