61890984 has 48 divisors (see below), whose sum is σ = 169996320. Its totient is φ = 20338080.

The previous prime is 61890977. The next prime is 61890989. The reversal of 61890984 is 48909816.

61890984 is nontrivially palindromic in base 13.

It is not an unprimeable number, because it can be changed into a prime (61890989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 942 + ... + 11165.

It is an arithmetic number, because the mean of its divisors is an integer number (3541590).

Almost surely, 2^61890984 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 61890984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84998160).

61890984 is an abundant number, since it is smaller than the sum of its proper divisors (108105336).

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

61890984 is a wasteful number, since it uses less digits than its factorization.

61890984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12190 (or 12183 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 61890984 is about 7867.0823054040. The cubic root of 61890984 is about 395.5570498665.

The spelling of 61890984 in words is "sixty-one million, eight hundred ninety thousand, nine hundred eighty-four".