648299520 has 264 divisors, whose sum is σ = 2452469760. Its totient is φ = 157040640.

The previous prime is 648299501. The next prime is 648299537. The reversal of 648299520 is 25992846.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506241 + ... + 507519.

Almost surely, 2^648299520 is an apocalyptic number.

648299520 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 648299520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226234880).

648299520 is an abundant number, since it is smaller than the sum of its proper divisors (1804170240).

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

648299520 is a wasteful number, since it uses less digits than its factorization.

648299520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 648299520 is about 25461.7265714641. The cubic root of 648299520 is about 865.4830496076.

The spelling of 648299520 in words is "six hundred forty-eight million, two hundred ninety-nine thousand, five hundred twenty".