240864 has 48 divisors (see below), whose sum is σ = 684432. Its totient is φ = 73728.

The previous prime is 240859. The next prime is 240869. The reversal of 240864 is 468042.

240864 = 27² + 28² + ... + 90².

240864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (240859) and next prime (240869).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1152 + ... + 1344.

It is an arithmetic number, because the mean of its divisors is an integer number (14259).

2²⁴⁰⁸⁶⁴ is an apocalyptic number.

240864 is a gapful number since it is divisible by the number (24) 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 240864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342216).

240864 is an abundant number, since it is smaller than the sum of its proper divisors (443568).

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

240864 is a wasteful number, since it uses less digits than its factorization.

240864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 240864 is about 490.7789726547. The cubic root of 240864 is about 62.2191343895.

It can be divided in two parts, 24086 and 4, that added together give a triangular number (24090 = T₂₁₉).

The spelling of 240864 in words is "two hundred forty thousand, eight hundred sixty-four".