67664100 has 108 divisors (see below), whose sum is σ = 227787504. Its totient is φ = 15462720.

The previous prime is 67664087. The next prime is 67664101. The reversal of 67664100 is 146676.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (67664101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12399 + ... + 17001.

Almost surely, 2^67664100 is an apocalyptic number.

67664100 is a gapful number since it is divisible by the number (60) 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 67664100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113893752).

67664100 is an abundant number, since it is smaller than the sum of its proper divisors (160123404).

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

67664100 is a wasteful number, since it uses less digits than its factorization.

67664100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4634 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 67664100 is about 8225.8191081497. The cubic root of 67664100 is about 407.4923280074.

The spelling of 67664100 in words is "sixty-seven million, six hundred sixty-four thousand, one hundred".