67664940 has 96 divisors (see below), whose sum is σ = 223555584. Its totient is φ = 14964480.

The previous prime is 67664939. The next prime is 67664951. The reversal of 67664940 is 4946676.

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

It is a junction number, because it is equal to n+sod(n) for n = 67664892 and 67664901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10422 + ... + 15618.

It is an arithmetic number, because the mean of its divisors is an integer number (2328704).

Almost surely, 2^67664940 is an apocalyptic number.

67664940 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 67664940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111777792).

67664940 is an abundant number, since it is smaller than the sum of its proper divisors (155890644).

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

67664940 is a wasteful number, since it uses less digits than its factorization.

67664940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5247 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 67664940 is about 8225.8701667362. The cubic root of 67664940 is about 407.4940142396.

The spelling of 67664940 in words is "sixty-seven million, six hundred sixty-four thousand, nine hundred forty".