67678632 has 128 divisors (see below), whose sum is σ = 227577600. Its totient is φ = 18192384.

The previous prime is 67678619. The next prime is 67678651. The reversal of 67678632 is 23687676.

67678632 is a `hidden beast` number, since 6 + 7 + 6 + 7 + 8 + 632 = 666.

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

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, 24388 + ... + 27020.

It is an arithmetic number, because the mean of its divisors is an integer number (1777950).

Almost surely, 2^67678632 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 67678632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113788800).

67678632 is an abundant number, since it is smaller than the sum of its proper divisors (159898968).

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

67678632 is a wasteful number, since it uses less digits than its factorization.

67678632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2662 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 67678632 is about 8226.7023770160. The cubic root of 67678632 is about 407.5214978559.

The spelling of 67678632 in words is "sixty-seven million, six hundred seventy-eight thousand, six hundred thirty-two".