240086880 has 288 divisors, whose sum is σ = 934053120. Its totient is φ = 55587840.

The previous prime is 240086849. The next prime is 240086881. The reversal of 240086880 is 88680042.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240086881) 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, 363991 + ... + 364649.

It is an arithmetic number, because the mean of its divisors is an integer number (3243240).

Almost surely, 2^240086880 is an apocalyptic number.

240086880 is a gapful number since it is divisible by the number (20) 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 240086880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467026560).

240086880 is an abundant number, since it is smaller than the sum of its proper divisors (693966240).

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

240086880 is a wasteful number, since it uses less digits than its factorization.

240086880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 240086880 is about 15494.7371710526. The cubic root of 240086880 is about 621.5214800219.

The spelling of 240086880 in words is "two hundred forty million, eighty-six thousand, eight hundred eighty".