67653984 has 96 divisors (see below), whose sum is σ = 193536000. Its totient is φ = 20611584.

The previous prime is 67653953. The next prime is 67654031. The reversal of 67653984 is 48935676.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52257 + ... + 53535.

It is an arithmetic number, because the mean of its divisors is an integer number (2016000).

Almost surely, 2^67653984 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 67653984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768000).

67653984 is an abundant number, since it is smaller than the sum of its proper divisors (125882016).

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

67653984 is a wasteful number, since it uses less digits than its factorization.

67653984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1332 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 67653984 is about 8225.2041919943. The cubic root of 67653984 is about 407.4720198586.

The spelling of 67653984 in words is "sixty-seven million, six hundred fifty-three thousand, nine hundred eighty-four".