66350952 has 96 divisors (see below), whose sum is σ = 189820800. Its totient is φ = 20896128.

The previous prime is 66350951. The next prime is 66350959. The reversal of 66350952 is 25905366.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66350951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170374 + ... + 170762.

It is an arithmetic number, because the mean of its divisors is an integer number (1977300).

Almost surely, 2^66350952 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 66350952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94910400).

66350952 is an abundant number, since it is smaller than the sum of its proper divisors (123469848).

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

66350952 is a wasteful number, since it uses less digits than its factorization.

66350952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 66350952 is about 8145.6093694702. The cubic root of 66350952 is about 404.8390398328.

It can be divided in two parts, 663 and 50952, that added together give a palindrome (51615).

The spelling of 66350952 in words is "sixty-six million, three hundred fifty thousand, nine hundred fifty-two".