648192000 has 224 divisors, whose sum is σ = 2167274304. Its totient is φ = 172032000.

The previous prime is 648191981. The next prime is 648192007. The reversal of 648192000 is 291846.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (648192007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3071895 + ... + 3072105.

Almost surely, 2^648192000 is an apocalyptic number.

648192000 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 648192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083637152).

648192000 is an abundant number, since it is smaller than the sum of its proper divisors (1519082304).

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

648192000 is an equidigital number, since it uses as much as digits as its factorization.

648192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 648192000 is about 25459.6150795726. The cubic root of 648192000 is about 865.4352003859.

The spelling of 648192000 in words is "six hundred forty-eight million, one hundred ninety-two thousand".