648968040 has 384 divisors, whose sum is σ = 2535287040. Its totient is φ = 140894208.

The previous prime is 648968039. The next prime is 648968051. The reversal of 648968040 is 40869846.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5743024 + ... + 5743136.

It is an arithmetic number, because the mean of its divisors is an integer number (6602310).

Almost surely, 2^648968040 is an apocalyptic number.

648968040 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 648968040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267643520).

648968040 is an abundant number, since it is smaller than the sum of its proper divisors (1886319000).

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

648968040 is a wasteful number, since it uses less digits than its factorization.

648968040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 226 counting only the distinct ones).

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

The square root of 648968040 is about 25474.8511281224. The cubic root of 648968040 is about 865.7804399057.

It can be divided in two parts, 6489 and 68040, that added together give a square (74529 = 273²).

The spelling of 648968040 in words is "six hundred forty-eight million, nine hundred sixty-eight thousand, forty".