67371264 has 189 divisors, whose sum is σ = 212797263. Its totient is φ = 21275136.

The previous prime is 67371259. The next prime is 67371287. The reversal of 67371264 is 46217376.

The square root of 67371264 is 8208.

It is a perfect power (a square), and thus also a powerful number.

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

Its product of digits (42336) is a multiple of the sum of its prime divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3545847 + ... + 3545865.

Almost surely, 2^67371264 is an apocalyptic number.

67371264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

67371264 is the 8208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67371264

67371264 is an abundant number, since it is smaller than the sum of its proper divisors (145425999).

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

67371264 is an frugal number, since it uses more digits than its factorization.

67371264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 24 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The cubic root of 67371264 is about 406.9036308932.

Multiplying 67371264 by its sum of digits (36), we get a square (2425365504 = 49248²).

67371264 divided by its sum of digits (36) gives a square (1871424 = 1368²).

It can be divided in two parts, 6737 and 1264, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 67371264 in words is "sixty-seven million, three hundred seventy-one thousand, two hundred sixty-four".