667122456 has 192 divisors, whose sum is σ = 2279854080. Its totient is φ = 159909120.

The previous prime is 667122437. The next prime is 667122479. The reversal of 667122456 is 654221766.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 166185 + ... + 170151.

It is an arithmetic number, because the mean of its divisors is an integer number (11874240).

Almost surely, 2^667122456 is an apocalyptic number.

667122456 is a gapful number since it is divisible by the number (66) 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 667122456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139927040).

667122456 is an abundant number, since it is smaller than the sum of its proper divisors (1612731624).

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

667122456 is a wasteful number, since it uses less digits than its factorization.

667122456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4014 (or 4003 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 667122456 is about 25828.7137891146. The cubic root of 667122456 is about 873.7795037121.

The spelling of 667122456 in words is "six hundred sixty-seven million, one hundred twenty-two thousand, four hundred fifty-six".