664301248 has 112 divisors (see below), whose sum is σ = 1527742944. Its totient is φ = 283852800.

The previous prime is 664301221. The next prime is 664301269. The reversal of 664301248 is 842103466.

It is a super-4 number, since 4×664301248⁴ (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 947298 + ... + 947998.

It is an arithmetic number, because the mean of its divisors is an integer number (13640562).

Almost surely, 2^664301248 is an apocalyptic number.

664301248 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 664301248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763871472).

664301248 is an abundant number, since it is smaller than the sum of its proper divisors (863441696).

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

664301248 is a wasteful number, since it uses less digits than its factorization.

664301248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 664301248 is about 25774.0421354509. The cubic root of 664301248 is about 872.5460485873.

The spelling of 664301248 in words is "six hundred sixty-four million, three hundred one thousand, two hundred forty-eight".