66958416 has 120 divisors (see below), whose sum is σ = 215930624. Its totient is φ = 18973440.

The previous prime is 66958403. The next prime is 66958429. The reversal of 66958416 is 61485966.

66958416 is a `hidden beast` number, since 6 + 69 + 584 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (66958403) and next prime (66958429).

It is a congruent number.

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, 182265 + ... + 182631.

Almost surely, 2^66958416 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 66958416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107965312).

66958416 is an abundant number, since it is smaller than the sum of its proper divisors (148972208).

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

66958416 is a wasteful number, since it uses less digits than its factorization.

66958416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 560 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 66958416 is about 8182.8122305232. The cubic root of 66958416 is about 406.0707650842.

The spelling of 66958416 in words is "sixty-six million, nine hundred fifty-eight thousand, four hundred sixteen".