66908940 has 96 divisors (see below), whose sum is σ = 226727424. Its totient is φ = 14392320.

The previous prime is 66908939. The next prime is 66908969. The reversal of 66908940 is 4980966.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 66908892 and 66908901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2455 + ... + 11825.

It is an arithmetic number, because the mean of its divisors is an integer number (2361744).

Almost surely, 2^66908940 is an apocalyptic number.

66908940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66908940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113363712).

66908940 is an abundant number, since it is smaller than the sum of its proper divisors (159818484).

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

66908940 is a wasteful number, since it uses less digits than its factorization.

66908940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9407 (or 9405 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 66908940 is about 8179.7885058234. The cubic root of 66908940 is about 405.9707243485.

The spelling of 66908940 in words is "sixty-six million, nine hundred eight thousand, nine hundred forty".