646248960 has 240 divisors, whose sum is σ = 2558514816. Its totient is φ = 147677184.

The previous prime is 646248959. The next prime is 646248961. The reversal of 646248960 is 69842646.

It is an interprime number because it is at equal distance from previous prime (646248959) and next prime (646248961).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (646248961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159277 + ... + 163283.

Almost surely, 2^646248960 is an apocalyptic number.

646248960 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 646248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279257408).

646248960 is an abundant number, since it is smaller than the sum of its proper divisors (1912265856).

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

646248960 is a wasteful number, since it uses less digits than its factorization.

646248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 646248960 is about 25421.4271825954. The cubic root of 646248960 is about 864.5695832732.

The spelling of 646248960 in words is "six hundred forty-six million, two hundred forty-eight thousand, nine hundred sixty".