67083264 has 132 divisors (see below), whose sum is σ = 201179160. Its totient is φ = 21504000.

The previous prime is 67083239. The next prime is 67083323. The reversal of 67083264 is 46238076.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267139 + ... + 267389.

Almost surely, 2^67083264 is an apocalyptic number.

67083264 is a gapful number since it is divisible by the number (64) 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 67083264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100589580).

67083264 is an abundant number, since it is smaller than the sum of its proper divisors (134095896).

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

67083264 is a wasteful number, since it uses less digits than its factorization.

67083264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 67083264 is about 8190.4373509600. The cubic root of 67083264 is about 406.3229895206.

The spelling of 67083264 in words is "sixty-seven million, eighty-three thousand, two hundred sixty-four".