241968864 has 48 divisors (see below), whose sum is σ = 636225408. Its totient is φ = 80522112.

The previous prime is 241968847. The next prime is 241968889. The reversal of 241968864 is 468869142.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×241968864² = 117097862290900992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 68059 + ... + 71525.

It is an arithmetic number, because the mean of its divisors is an integer number (13254696).

Almost surely, 2^241968864 is an apocalyptic number.

241968864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

241968864 is an abundant number, since it is smaller than the sum of its proper divisors (394256544).

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

241968864 is a wasteful number, since it uses less digits than its factorization.

241968864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207 (or 4199 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 241968864 is about 15555.3484049699. The cubic root of 241968864 is about 623.1412414534.

The spelling of 241968864 in words is "two hundred forty-one million, nine hundred sixty-eight thousand, eight hundred sixty-four".