66954048 has 112 divisors (see below), whose sum is σ = 209117184. Its totient is φ = 18501120.

The previous prime is 66954047. The next prime is 66954061. The reversal of 66954048 is 84045966.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66954047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40861 + ... + 42467.

Almost surely, 2^66954048 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 66954048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104558592).

66954048 is an abundant number, since it is smaller than the sum of its proper divisors (142163136).

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

66954048 is a wasteful number, since it uses less digits than its factorization.

66954048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 66954048 is about 8182.5453252640. The cubic root of 66954048 is about 406.0619349487.

The spelling of 66954048 in words is "sixty-six million, nine hundred fifty-four thousand, forty-eight".