66954160 has 160 divisors (see below), whose sum is σ = 203236992. Its totient is φ = 19906560.

The previous prime is 66954103. The next prime is 66954161. The reversal of 66954160 is 6145966.

It is not an unprimeable number, because it can be changed into a prime (66954161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123490 + ... + 124030.

Almost surely, 2^66954160 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 66954160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101618496).

66954160 is an abundant number, since it is smaller than the sum of its proper divisors (136282832).

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

66954160 is a wasteful number, since it uses less digits than its factorization.

66954160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 66954160 is about 8182.5521690974. The cubic root of 66954160 is about 406.0621613672.

The spelling of 66954160 in words is "sixty-six million, nine hundred fifty-four thousand, one hundred sixty".