661167360 has 360 divisors, whose sum is σ = 2706713856. Its totient is φ = 150958080.

The previous prime is 661167347. The next prime is 661167371. The reversal of 661167360 is 63761166.

661167360 is a `hidden beast` number, since 6 + 611 + 6 + 7 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 725305 + ... + 726215.

Almost surely, 2^661167360 is an apocalyptic number.

661167360 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 661167360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353356928).

661167360 is an abundant number, since it is smaller than the sum of its proper divisors (2045546496).

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

661167360 is an equidigital number, since it uses as much as digits as its factorization.

661167360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 661167360 is about 25713.1748331473. The cubic root of 661167360 is about 871.1717860772.

The spelling of 661167360 in words is "six hundred sixty-one million, one hundred sixty-seven thousand, three hundred sixty".