661984848 has 240 divisors, whose sum is σ = 2200573440. Its totient is φ = 181868544.

The previous prime is 661984847. The next prime is 661984861. The reversal of 661984848 is 848489166.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 661984794 and 661984803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661984847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4216386 + ... + 4216542.

It is an arithmetic number, because the mean of its divisors is an integer number (9169056).

Almost surely, 2^661984848 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 661984848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100286720).

661984848 is an abundant number, since it is smaller than the sum of its proper divisors (1538588592).

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

661984848 is a wasteful number, since it uses less digits than its factorization.

661984848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 305 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 661984848 is about 25729.0662092506. The cubic root of 661984848 is about 871.5306862126.

The spelling of 661984848 in words is "six hundred sixty-one million, nine hundred eighty-four thousand, eight hundred forty-eight".