67812864 has 240 divisors, whose sum is σ = 226713168. Its totient is φ = 17891328.

The previous prime is 67812863. The next prime is 67812883. The reversal of 67812864 is 46821876.

67812864 = T₂₃₇ + T₂₃₈ + ... + T₇₄₈.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67812863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1279462 + ... + 1279514.

Almost surely, 2^67812864 is an apocalyptic number.

67812864 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 67812864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113356584).

67812864 is an abundant number, since it is smaller than the sum of its proper divisors (158900304).

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

67812864 is a wasteful number, since it uses less digits than its factorization.

67812864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 67812864 is about 8234.8566472040. The cubic root of 67812864 is about 407.7907423662.

The spelling of 67812864 in words is "sixty-seven million, eight hundred twelve thousand, eight hundred sixty-four".