667948842 has 160 divisors (see below), whose sum is σ = 1747975680. Its totient is φ = 188606880.

The previous prime is 667948837. The next prime is 667948859. The reversal of 667948842 is 248849766.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1762209 + ... + 1762587.

It is an arithmetic number, because the mean of its divisors is an integer number (10924848).

Almost surely, 2^667948842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667948842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873987840).

667948842 is an abundant number, since it is smaller than the sum of its proper divisors (1080026838).

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

667948842 is a wasteful number, since it uses less digits than its factorization.

667948842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 461 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 667948842 is about 25844.7062664678. The cubic root of 667948842 is about 874.1401477454.

The spelling of 667948842 in words is "six hundred sixty-seven million, nine hundred forty-eight thousand, eight hundred forty-two".