661508352 has 108 divisors (see below), whose sum is σ = 2019604860. Its totient is φ = 207519744.

The previous prime is 661508293. The next prime is 661508371. The reversal of 661508352 is 253805166.

661508352 is a `hidden beast` number, since 6 + 615 + 0 + 8 + 35 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 231526656 + 429981696 = 15216^2 + 20736^2 .

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30724 + ... + 47612.

It is an arithmetic number, because the mean of its divisors is an integer number (18700045).

Almost surely, 2^661508352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661508352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009802430).

661508352 is an abundant number, since it is smaller than the sum of its proper divisors (1358096508).

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

661508352 is a wasteful number, since it uses less digits than its factorization.

661508352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16928 (or 16911 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 661508352 is about 25719.8046648881. The cubic root of 661508352 is about 871.3215270621.

The spelling of 661508352 in words is "six hundred sixty-one million, five hundred eight thousand, three hundred fifty-two".