66634512 has 120 divisors (see below), whose sum is σ = 205424352. Its totient is φ = 18547200.

The previous prime is 66634507. The next prime is 66634537. The reversal of 66634512 is 21543666.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96087 + ... + 96777.

Almost surely, 2^66634512 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 66634512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102712176).

66634512 is an abundant number, since it is smaller than the sum of its proper divisors (138789840).

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

66634512 is a wasteful number, since it uses less digits than its factorization.

66634512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 744 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 66634512 is about 8162.9965086358. The cubic root of 66634512 is about 405.4149321620.

It can be divided in two parts, 6663 and 4512, that added together give a triangular number (11175 = T₁₄₉).

The spelling of 66634512 in words is "sixty-six million, six hundred thirty-four thousand, five hundred twelve".