66956512 has 48 divisors (see below), whose sum is σ = 151345152. Its totient is φ = 28563840.

The previous prime is 66956507. The next prime is 66956531. The reversal of 66956512 is 21565966.

It is a super-2 number, since 2×66956512² = 8966348998412288, which contains 22 as substring.

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, 60153 + ... + 61255.

It is an arithmetic number, because the mean of its divisors is an integer number (3153024).

Almost surely, 2^66956512 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 66956512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75672576).

66956512 is an abundant number, since it is smaller than the sum of its proper divisors (84388640).

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

66956512 is a wasteful number, since it uses less digits than its factorization.

66956512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1383 counting only the distinct ones).

The product of its digits is 97200, while the sum is 40.

The square root of 66956512 is about 8182.6958882755. The cubic root of 66956512 is about 406.0669160980.

The spelling of 66956512 in words is "sixty-six million, nine hundred fifty-six thousand, five hundred twelve".