66810952 has 128 divisors (see below), whose sum is σ = 156764160. Its totient is φ = 26357760.

The previous prime is 66810943. The next prime is 66810959. The reversal of 66810952 is 25901866.

It is not an unprimeable number, because it can be changed into a prime (66810959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1260558 + ... + 1260610.

It is an arithmetic number, because the mean of its divisors is an integer number (1224720).

Almost surely, 2^66810952 is an apocalyptic number.

66810952 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 66810952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78382080).

66810952 is an abundant number, since it is smaller than the sum of its proper divisors (89953208).

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

66810952 is a wasteful number, since it uses less digits than its factorization.

66810952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 66810952 is about 8173.7966698469. The cubic root of 66810952 is about 405.7724464376.

The spelling of 66810952 in words is "sixty-six million, eight hundred ten thousand, nine hundred fifty-two".