648400896 has 416 divisors, whose sum is σ = 2311827840. Its totient is φ = 176947200.

The previous prime is 648400873. The next prime is 648400901. The reversal of 648400896 is 698004846.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (416).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15814636 + ... + 15814676.

Almost surely, 2^648400896 is an apocalyptic number.

648400896 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 648400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155913920).

648400896 is an abundant number, since it is smaller than the sum of its proper divisors (1663426944).

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

648400896 is a wasteful number, since it uses less digits than its factorization.

648400896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 648400896 is about 25463.7172463095. The cubic root of 648400896 is about 865.5281597427.

The spelling of 648400896 in words is "six hundred forty-eight million, four hundred thousand, eight hundred ninety-six".