667251360 has 288 divisors, whose sum is σ = 2444459472. Its totient is φ = 165150720.

The previous prime is 667251337. The next prime is 667251383. The reversal of 667251360 is 63152766.

It is an interprime number because it is at equal distance from previous prime (667251337) and next prime (667251383).

It can be written as a sum of positive squares in 8 ways, for example, as 426505104 + 240746256 = 20652^2 + 15516^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 2374420 + ... + 2374700.

Almost surely, 2^667251360 is an apocalyptic number.

667251360 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 667251360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222229736).

667251360 is an abundant number, since it is smaller than the sum of its proper divisors (1777208112).

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

667251360 is a wasteful number, since it uses less digits than its factorization.

667251360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 667251360 is about 25831.2090309378. The cubic root of 667251360 is about 873.8357784477.

The spelling of 667251360 in words is "six hundred sixty-seven million, two hundred fifty-one thousand, three hundred sixty".