240090 has 32 divisors (see below), whose sum is σ = 590976. Its totient is φ = 62400.

The previous prime is 240089. The next prime is 240101. The reversal of 240090 is 90042.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1515 + ... + 1665.

It is an arithmetic number, because the mean of its divisors is an integer number (18468).

2²⁴⁰⁰⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295488).

240090 is an abundant number, since it is smaller than the sum of its proper divisors (350886).

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

240090 is a wasteful number, since it uses less digits than its factorization.

240090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 240090 is about 489.9897958121. The cubic root of 240090 is about 62.1524172295.

It can be divided in two parts, 2400 and 90, that multiplied together give a cube (216000 = 60³).

The spelling of 240090 in words is "two hundred forty thousand, ninety".