66965952 has 56 divisors (see below), whose sum is σ = 182912512. Its totient is φ = 21600000.

The previous prime is 66965939. The next prime is 66965971. The reversal of 66965952 is 25956966.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327 + ... + 11577.

Almost surely, 2^66965952 is an apocalyptic number.

66965952 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66965952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91456256).

66965952 is an abundant number, since it is smaller than the sum of its proper divisors (115946560).

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

66965952 is a wasteful number, since it uses less digits than its factorization.

66965952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11297 (or 11287 counting only the distinct ones).

The product of its digits is 874800, while the sum is 48.

The square root of 66965952 is about 8183.2726949552. The cubic root of 66965952 is about 406.0859985912.

The spelling of 66965952 in words is "sixty-six million, nine hundred sixty-five thousand, nine hundred fifty-two".