67000416 has 96 divisors (see below), whose sum is σ = 202487040. Its totient is φ = 19001856.

The previous prime is 67000399. The next prime is 67000429. The reversal of 67000416 is 61400076.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120010 + ... + 120566.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 2^67000416 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 67000416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

67000416 is an abundant number, since it is smaller than the sum of its proper divisors (135486624).

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

67000416 is a wasteful number, since it uses less digits than its factorization.

67000416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 67000416 is about 8185.3781830774. The cubic root of 67000416 is about 406.1556506418.

The spelling of 67000416 in words is "sixty-seven million, four hundred sixteen", and thus it is an aban number.