73680984 has 96 divisors (see below), whose sum is σ = 216478080. Its totient is φ = 22505472.

The previous prime is 73680961. The next prime is 73680991. The reversal of 73680984 is 48908637.

It is a happy number.

73680984 is nontrivially palindromic in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208552 + ... + 208904.

It is an arithmetic number, because the mean of its divisors is an integer number (2254980).

Almost surely, 2^73680984 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 73680984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108239040).

73680984 is an abundant number, since it is smaller than the sum of its proper divisors (142797096).

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

73680984 is a wasteful number, since it uses less digits than its factorization.

73680984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 73680984 is about 8583.7628112617. The cubic root of 73680984 is about 419.2294716135.

The spelling of 73680984 in words is "seventy-three million, six hundred eighty thousand, nine hundred eighty-four".