275824640 has 240 divisors, whose sum is σ = 836738112. Its totient is φ = 84934656.

The previous prime is 275824621. The next prime is 275824657. The reversal of 275824640 is 46428572.

It is a super-2 number, since 2×275824640² = 152158464062259200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 275824594 and 275824603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7454702 + ... + 7454738.

Almost surely, 2^275824640 is an apocalyptic number.

275824640 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 275824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418369056).

275824640 is an abundant number, since it is smaller than the sum of its proper divisors (560913472).

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

275824640 is an equidigital number, since it uses as much as digits as its factorization.

275824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 275824640 is about 16607.9691714550. The cubic root of 275824640 is about 650.9450867356.

The spelling of 275824640 in words is "two hundred seventy-five million, eight hundred twenty-four thousand, six hundred forty".