61791984 has 120 divisors (see below), whose sum is σ = 187404672. Its totient is φ = 19673280.

The previous prime is 61791973. The next prime is 61792001. The reversal of 61791984 is 48919716.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89079 + ... + 89769.

Almost surely, 2^61791984 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 61791984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93702336).

61791984 is an abundant number, since it is smaller than the sum of its proper divisors (125612688).

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

61791984 is a wasteful number, since it uses less digits than its factorization.

61791984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 719 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 61791984 is about 7860.7877467847. The cubic root of 61791984 is about 395.3460280342.

The spelling of 61791984 in words is "sixty-one million, seven hundred ninety-one thousand, nine hundred eighty-four".