67632642 has 72 divisors (see below), whose sum is σ = 185985072. Its totient is φ = 17564400.

The previous prime is 67632637. The next prime is 67632659. The reversal of 67632642 is 24623676.

It is a happy number.

67632642 is a `hidden beast` number, since 6 + 7 + 6 + 3 + 2 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 67632597 and 67632606.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6217 + ... + 13187.

It is an arithmetic number, because the mean of its divisors is an integer number (2583126).

Almost surely, 2^67632642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67632642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92992536).

67632642 is an abundant number, since it is smaller than the sum of its proper divisors (118352430).

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

67632642 is a wasteful number, since it uses less digits than its factorization.

67632642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7004 (or 6994 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 67632642 is about 8223.9067358525. The cubic root of 67632642 is about 407.4291685638.

The spelling of 67632642 in words is "sixty-seven million, six hundred thirty-two thousand, six hundred forty-two".