67830672 has 160 divisors (see below), whose sum is σ = 220485888. Its totient is φ = 17491968.

The previous prime is 67830667. The next prime is 67830677. The reversal of 67830672 is 27603876.

It is an interprime number because it is at equal distance from previous prime (67830667) and next prime (67830677).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 67830672.

It is not an unprimeable number, because it can be changed into a prime (67830677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231358 + ... + 231650.

Almost surely, 2^67830672 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 67830672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110242944).

67830672 is an abundant number, since it is smaller than the sum of its proper divisors (152655216).

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

67830672 is a wasteful number, since it uses less digits than its factorization.

67830672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 67830672 is about 8235.9378336653. The cubic root of 67830672 is about 407.8264352103.

The spelling of 67830672 in words is "sixty-seven million, eight hundred thirty thousand, six hundred seventy-two".