248213664 has 36 divisors (see below), whose sum is σ = 705858426. Its totient is φ = 82737792.

The previous prime is 248213597. The next prime is 248213671. The reversal of 248213664 is 466312842.

It can be written as a sum of positive squares in only one way, i.e., 175827600 + 72386064 = 13260^2 + 8508^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×248213664² = 123220045992609792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 430639 + ... + 431214.

Almost surely, 2^248213664 is an apocalyptic number.

248213664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248213664 is an abundant number, since it is smaller than the sum of its proper divisors (457644762).

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

248213664 is a wasteful number, since it uses less digits than its factorization.

248213664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861869 (or 861858 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 248213664 is about 15754.7981262852. The cubic root of 248213664 is about 628.4565087823.

The spelling of 248213664 in words is "two hundred forty-eight million, two hundred thirteen thousand, six hundred sixty-four".