661264296 has 256 divisors, whose sum is σ = 2232576000. Its totient is φ = 158008320.

The previous prime is 661264243. The next prime is 661264349. The reversal of 661264296 is 692462166.

661264296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (661264243) and next prime (661264349).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1298890 + ... + 1299398.

It is an arithmetic number, because the mean of its divisors is an integer number (8721000).

Almost surely, 2^661264296 is an apocalyptic number.

661264296 is a gapful number since it is divisible by the number (66) 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 661264296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116288000).

661264296 is an abundant number, since it is smaller than the sum of its proper divisors (1571311704).

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

661264296 is a wasteful number, since it uses less digits than its factorization.

661264296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 588 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 661264296 is about 25715.0597121609. The cubic root of 661264296 is about 871.2143591515.

The spelling of 661264296 in words is "six hundred sixty-one million, two hundred sixty-four thousand, two hundred ninety-six".