240591936 has 112 divisors (see below), whose sum is σ = 702551808. Its totient is φ = 72192000.

The previous prime is 240591887. The next prime is 240591947. The reversal of 240591936 is 639195042.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 240591894 and 240591903.

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, 101161 + ... + 103511.

It is an arithmetic number, because the mean of its divisors is an integer number (6272784).

Almost surely, 2^240591936 is an apocalyptic number.

240591936 is a gapful number since it is divisible by the number (26) 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 240591936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351275904).

240591936 is an abundant number, since it is smaller than the sum of its proper divisors (461959872).

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

240591936 is a wasteful number, since it uses less digits than its factorization.

240591936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 240591936 is about 15511.0262716559. The cubic root of 240591936 is about 621.9569936112.

The spelling of 240591936 in words is "two hundred forty million, five hundred ninety-one thousand, nine hundred thirty-six".