275624640 has 448 divisors, whose sum is σ = 1082649600. Its totient is φ = 65691648.

The previous prime is 275624623. The next prime is 275624641. The reversal of 275624640 is 46426572.

275624640 is a `hidden beast` number, since 2 + 7 + 5 + 6 + 2 + 4 + 640 = 666.

275624640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 275624595 and 275624604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275624641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3775644 + ... + 3775716.

Almost surely, 2^275624640 is an apocalyptic number.

275624640 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 275624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541324800).

275624640 is an abundant number, since it is smaller than the sum of its proper divisors (807024960).

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

275624640 is a wasteful number, since it uses less digits than its factorization.

275624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 275624640 is about 16601.9468737856. The cubic root of 275624640 is about 650.7877156168.

The spelling of 275624640 in words is "two hundred seventy-five million, six hundred twenty-four thousand, six hundred forty".