661248000 has 576 divisors, whose sum is σ = 2790365760. Its totient is φ = 147456000.

The previous prime is 661247941. The next prime is 661248037. The reversal of 661248000 is 842166.

661248000 is a `hidden beast` number, since 6 + 612 + 48 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

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, 16127980 + ... + 16128020.

It is an arithmetic number, because the mean of its divisors is an integer number (4844385).

Almost surely, 2^661248000 is an apocalyptic number.

661248000 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 661248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395182880).

661248000 is an abundant number, since it is smaller than the sum of its proper divisors (2129117760).

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

661248000 is a wasteful number, since it uses less digits than its factorization.

661248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 661248000 is about 25714.7428530794. The cubic root of 661248000 is about 871.2072024438.

The spelling of 661248000 in words is "six hundred sixty-one million, two hundred forty-eight thousand".