67600864 has 48 divisors (see below), whose sum is σ = 141577632. Its totient is φ = 31702528.

The previous prime is 67600861. The next prime is 67600867. The reversal of 67600864 is 46800676.

It is an interprime number because it is at equal distance from previous prime (67600861) and next prime (67600867).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67600861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38142 + ... + 39874.

It is an arithmetic number, because the mean of its divisors is an integer number (2949534).

Almost surely, 2^67600864 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 67600864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70788816).

67600864 is an abundant number, since it is smaller than the sum of its proper divisors (73976768).

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

67600864 is a wasteful number, since it uses less digits than its factorization.

67600864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 67600864 is about 8221.9744587295. The cubic root of 67600864 is about 407.3653467559.

The spelling of 67600864 in words is "sixty-seven million, six hundred thousand, eight hundred sixty-four".