54195966 has 80 divisors (see below), whose sum is σ = 140350320. Its totient is φ = 15448320.

The previous prime is 54195941. The next prime is 54195989. The reversal of 54195966 is 66959145.

It is a happy number.

54195966 is a `hidden beast` number, since 54 + 1 + 9 + 596 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29400 + ... + 31188.

It is an arithmetic number, because the mean of its divisors is an integer number (1754379).

Almost surely, 2^54195966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54195966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70175160).

54195966 is an abundant number, since it is smaller than the sum of its proper divisors (86154354).

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

54195966 is a wasteful number, since it uses less digits than its factorization.

54195966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1822 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 54195966 is about 7361.7909505772. The cubic root of 54195966 is about 378.4329883396.

The spelling of 54195966 in words is "fifty-four million, one hundred ninety-five thousand, nine hundred sixty-six".