66966004 has 36 divisors (see below), whose sum is σ = 137728416. Its totient is φ = 27908064.

The previous prime is 66965981. The next prime is 66966019. The reversal of 66966004 is 40066966.

66966004 = T₂₂₇ + T₂₂₈ + ... + T₇₄₄.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37459 + ... + 39205.

Almost surely, 2^66966004 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 66966004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68864208).

66966004 is an abundant number, since it is smaller than the sum of its proper divisors (70762412).

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

66966004 is a wasteful number, since it uses less digits than its factorization.

66966004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 66966004 is about 8183.2758721676. The cubic root of 66966004 is about 406.0861037016.

The spelling of 66966004 in words is "sixty-six million, nine hundred sixty-six thousand, four".