66937052 has 48 divisors (see below), whose sum is σ = 144883200. Its totient is φ = 26350272.

The previous prime is 66937049. The next prime is 66937067. The reversal of 66937052 is 25073966.

It is a junction number, because it is equal to n+sod(n) for n = 66936997 and 66937015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111449 + ... + 112047.

It is an arithmetic number, because the mean of its divisors is an integer number (3018400).

Almost surely, 2^66937052 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 66937052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72441600).

66937052 is an abundant number, since it is smaller than the sum of its proper divisors (77946148).

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

66937052 is a wasteful number, since it uses less digits than its factorization.

66937052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 66937052 is about 8181.5067072025. The cubic root of 66937052 is about 406.0275730099.

The spelling of 66937052 in words is "sixty-six million, nine hundred thirty-seven thousand, fifty-two".