67623864 has 256 divisors, whose sum is σ = 231137280. Its totient is φ = 15966720.

The previous prime is 67623863. The next prime is 67623889. The reversal of 67623864 is 46832676.

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.

Its product of digits (290304) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67623863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1572627 + ... + 1572669.

It is an arithmetic number, because the mean of its divisors is an integer number (902880).

Almost surely, 2^67623864 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 67623864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115568640).

67623864 is an abundant number, since it is smaller than the sum of its proper divisors (163513416).

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

67623864 is a wasteful number, since it uses less digits than its factorization.

67623864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 126 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 67623864 is about 8223.3730305757. The cubic root of 67623864 is about 407.4115411388.

The spelling of 67623864 in words is "sixty-seven million, six hundred twenty-three thousand, eight hundred sixty-four".