667035432 has 384 divisors, whose sum is σ = 2363904000. Its totient is φ = 173093760.

The previous prime is 667035431. The next prime is 667035449. The reversal of 667035432 is 234530766.

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

It is not an unprimeable number, because it can be changed into a prime (667035431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6233923 + ... + 6234029.

It is an arithmetic number, because the mean of its divisors is an integer number (6156000).

Almost surely, 2^667035432 is an apocalyptic number.

667035432 is a gapful number since it is divisible by the number (62) 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 667035432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181952000).

667035432 is an abundant number, since it is smaller than the sum of its proper divisors (1696868568).

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

667035432 is a wasteful number, since it uses less digits than its factorization.

667035432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 667035432 is about 25827.0290974398. The cubic root of 667035432 is about 873.7415081420.

The spelling of 667035432 in words is "six hundred sixty-seven million, thirty-five thousand, four hundred thirty-two".