240820128 has 120 divisors (see below), whose sum is σ = 722020068. Its totient is φ = 78713856.

The previous prime is 240820127. The next prime is 240820133. The reversal of 240820128 is 821028042.

It can be written as a sum of positive squares in 2 ways, for example, as 231891984 + 8928144 = 15228^2 + 2988^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (240820127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 136500 + ... + 138252.

Almost surely, 2^240820128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240820128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361010034).

240820128 is an abundant number, since it is smaller than the sum of its proper divisors (481199940).

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

240820128 is a wasteful number, since it uses less digits than its factorization.

240820128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 240820128 is about 15518.3803278564. The cubic root of 240820128 is about 622.1535654027.

It can be divided in two parts, 2 and 40820128, that added together give a triangular number (40820130 = T₉₀₃₅).

The spelling of 240820128 in words is "two hundred forty million, eight hundred twenty thousand, one hundred twenty-eight".