661848000 has 448 divisors, whose sum is σ = 2510576640. Its totient is φ = 152064000.

The previous prime is 661847993. The next prime is 661848007. The reversal of 661848000 is 848166.

It is an interprime number because it is at equal distance from previous prime (661847993) and next prime (661848007).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661848007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6071946 + ... + 6072054.

Almost surely, 2^661848000 is an apocalyptic number.

661848000 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 661848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255288320).

661848000 is an abundant number, since it is smaller than the sum of its proper divisors (1848728640).

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

661848000 is a wasteful number, since it uses less digits than its factorization.

661848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 661848000 is about 25726.4066670804. The cubic root of 661848000 is about 871.4706267056.

The spelling of 661848000 in words is "six hundred sixty-one million, eight hundred forty-eight thousand".