66893952 has 64 divisors (see below), whose sum is σ = 183844800. Its totient is φ = 21525504.

The previous prime is 66893941. The next prime is 66893969. The reversal of 66893952 is 25939866.

66893952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8133 + ... + 14139.

It is an arithmetic number, because the mean of its divisors is an integer number (2872575).

Almost surely, 2^66893952 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 66893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91922400).

66893952 is an abundant number, since it is smaller than the sum of its proper divisors (116950848).

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

66893952 is a wasteful number, since it uses less digits than its factorization.

66893952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6053 (or 6041 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The square root of 66893952 is about 8178.8722939046. The cubic root of 66893952 is about 405.9404088002.

The spelling of 66893952 in words is "sixty-six million, eight hundred ninety-three thousand, nine hundred fifty-two".