667661040 has 120 divisors (see below), whose sum is σ = 2256380880. Its totient is φ = 176919552.

The previous prime is 667661021. The next prime is 667661053. The reversal of 667661040 is 40166766.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 667660986 and 667661004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114516 + ... + 120204.

It is an arithmetic number, because the mean of its divisors is an integer number (18803174).

Almost surely, 2^667661040 is an apocalyptic number.

667661040 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 667661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128190440).

667661040 is an abundant number, since it is smaller than the sum of its proper divisors (1588719840).

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

667661040 is a wasteful number, since it uses less digits than its factorization.

667661040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 667661040 is about 25839.1377565119. The cubic root of 667661040 is about 874.0145815300.

The spelling of 667661040 in words is "six hundred sixty-seven million, six hundred sixty-one thousand, forty".