648896040 has 192 divisors, whose sum is σ = 2309383440. Its totient is φ = 157040640.

The previous prime is 648896029. The next prime is 648896081. The reversal of 648896040 is 40698846.

It is a happy number.

648896040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 118330884 + 530565156 = 10878^2 + 23034^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 284344 + ... + 286616.

Almost surely, 2^648896040 is an apocalyptic number.

648896040 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 648896040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154691720).

648896040 is an abundant number, since it is smaller than the sum of its proper divisors (1660487400).

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

648896040 is a wasteful number, since it uses less digits than its factorization.

648896040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2357 counting only the distinct ones).

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

The square root of 648896040 is about 25473.4379305189. The cubic root of 648896040 is about 865.7484206108.

The spelling of 648896040 in words is "six hundred forty-eight million, eight hundred ninety-six thousand, forty".