240726120 has 128 divisors (see below), whose sum is σ = 769824000. Its totient is φ = 60010496.

The previous prime is 240726113. The next prime is 240726133. The reversal of 240726120 is 21627042.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401581 + ... + 402179.

It is an arithmetic number, because the mean of its divisors is an integer number (6014250).

Almost surely, 2^240726120 is an apocalyptic number.

240726120 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 240726120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384912000).

240726120 is an abundant number, since it is smaller than the sum of its proper divisors (529097880).

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

240726120 is a wasteful number, since it uses less digits than its factorization.

240726120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 240726120 is about 15515.3511078544. The cubic root of 240726120 is about 622.0725989915.

The spelling of 240726120 in words is "two hundred forty million, seven hundred twenty-six thousand, one hundred twenty".