256737120 has 96 divisors (see below), whose sum is σ = 851316480. Its totient is φ = 64857600.

The previous prime is 256737119. The next prime is 256737137. The reversal of 256737120 is 21737652.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4956 + ... + 23195.

It is an arithmetic number, because the mean of its divisors is an integer number (8867880).

Almost surely, 2^256737120 is an apocalyptic number.

256737120 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 256737120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425658240).

256737120 is an abundant number, since it is smaller than the sum of its proper divisors (594579360).

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

256737120 is a wasteful number, since it uses less digits than its factorization.

256737120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28188 (or 28180 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 256737120 is about 16023.0184422287. The cubic root of 256737120 is about 635.5692665161.

The spelling of 256737120 in words is "two hundred fifty-six million, seven hundred thirty-seven thousand, one hundred twenty".