240786920 has 128 divisors (see below), whose sum is σ = 619315200. Its totient is φ = 83462400.

The previous prime is 240786899. The next prime is 240786937. The reversal of 240786920 is 29687042.

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, 1732211 + ... + 1732349.

It is an arithmetic number, because the mean of its divisors is an integer number (4838400).

Almost surely, 2^240786920 is an apocalyptic number.

240786920 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 240786920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309657600).

240786920 is an abundant number, since it is smaller than the sum of its proper divisors (378528280).

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

240786920 is a wasteful number, since it uses less digits than its factorization.

240786920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 240786920 is about 15517.3103339464. The cubic root of 240786920 is about 622.1249667061.

Subtracting from 240786920 its reverse (29687042), we obtain a triangular number (211099878 = T₂₀₅₄₇).

The spelling of 240786920 in words is "two hundred forty million, seven hundred eighty-six thousand, nine hundred twenty".