667432440 has 128 divisors (see below), whose sum is σ = 2279188800. Its totient is φ = 173629440.

The previous prime is 667432433. The next prime is 667432463. The reversal of 667432440 is 44234766.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 667432395 and 667432404.

It is a congruent number.

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, 36744 + ... + 51816.

Almost surely, 2^667432440 is an apocalyptic number.

667432440 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 667432440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139594400).

667432440 is an abundant number, since it is smaller than the sum of its proper divisors (1611756360).

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

667432440 is a wasteful number, since it uses less digits than its factorization.

667432440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15134 (or 15124 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 667432440 is about 25834.7138555859. The cubic root of 667432440 is about 873.9148190614.

The spelling of 667432440 in words is "six hundred sixty-seven million, four hundred thirty-two thousand, four hundred forty".