255950640 has 240 divisors, whose sum is σ = 993391776. Its totient is φ = 58368000.

The previous prime is 255950633. The next prime is 255950671. The reversal of 255950640 is 46059552.

255950640 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 5 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 255950595 and 255950604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133690 + ... + 135590.

Almost surely, 2^255950640 is an apocalyptic number.

255950640 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 255950640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496695888).

255950640 is an abundant number, since it is smaller than the sum of its proper divisors (737441136).

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

255950640 is a wasteful number, since it uses less digits than its factorization.

255950640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 255950640 is about 15998.4574256395. The cubic root of 255950640 is about 634.9196087288.

The spelling of 255950640 in words is "two hundred fifty-five million, nine hundred fifty thousand, six hundred forty".