661567032 has 288 divisors, whose sum is σ = 2253588480. Its totient is φ = 174303360.

The previous prime is 661566973. The next prime is 661567037. The reversal of 661567032 is 230765166.

661567032 is a `hidden beast` number, since 6 + 61 + 567 + 0 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661567037) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2515333 + ... + 2515595.

It is an arithmetic number, because the mean of its divisors is an integer number (7824960).

Almost surely, 2^661567032 is an apocalyptic number.

661567032 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 661567032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126794240).

661567032 is an abundant number, since it is smaller than the sum of its proper divisors (1592021448).

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

661567032 is a wasteful number, since it uses less digits than its factorization.

661567032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 329 counting only the distinct ones).

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

The square root of 661567032 is about 25720.9453947556. The cubic root of 661567032 is about 871.3472902215.

The spelling of 661567032 in words is "six hundred sixty-one million, five hundred sixty-seven thousand, thirty-two".