66518970 has 96 divisors (see below), whose sum is σ = 190885248. Its totient is φ = 14781312.

The previous prime is 66518957. The next prime is 66518983. The reversal of 66518970 is 7981566.

It is an interprime number because it is at equal distance from previous prime (66518957) and next prime (66518983).

It is a super-3 number, since 3×66518970³ (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53779 + ... + 55001.

It is an arithmetic number, because the mean of its divisors is an integer number (1988388).

Almost surely, 2^66518970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66518970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95442624).

66518970 is an abundant number, since it is smaller than the sum of its proper divisors (124366278).

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

66518970 is a wasteful number, since it uses less digits than its factorization.

66518970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 66518970 is about 8155.9162575397. The cubic root of 66518970 is about 405.1804713137.

The spelling of 66518970 in words is "sixty-six million, five hundred eighteen thousand, nine hundred seventy".