646621248 has 336 divisors, whose sum is σ = 2276636544. Its totient is φ = 159989760.

The previous prime is 646621201. The next prime is 646621249. The reversal of 646621248 is 842126646.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (646621249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2079013 + ... + 2079323.

It is an arithmetic number, because the mean of its divisors is an integer number (6775704).

Almost surely, 2^646621248 is an apocalyptic number.

646621248 is a gapful number since it is divisible by the number (68) 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 646621248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138318272).

646621248 is an abundant number, since it is smaller than the sum of its proper divisors (1630015296).

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

646621248 is a wasteful number, since it uses less digits than its factorization.

646621248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 353 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 646621248 is about 25428.7484552425. The cubic root of 646621248 is about 864.7355704360.

The spelling of 646621248 in words is "six hundred forty-six million, six hundred twenty-one thousand, two hundred forty-eight".