258632640 has 168 divisors, whose sum is σ = 1016751840. Its totient is φ = 59111424.

The previous prime is 258632639. The next prime is 258632651. The reversal of 258632640 is 46236852.

258632640 is a `hidden beast` number, since 2 + 5 + 8 + 6 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 258632595 and 258632604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13746 + ... + 26574.

Almost surely, 2^258632640 is an apocalyptic number.

258632640 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 258632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508375920).

258632640 is an abundant number, since it is smaller than the sum of its proper divisors (758119200).

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

258632640 is a wasteful number, since it uses less digits than its factorization.

258632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12859 (or 12846 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 258632640 is about 16082.0595695949. The cubic root of 258632640 is about 637.1295933595.

The spelling of 258632640 in words is "two hundred fifty-eight million, six hundred thirty-two thousand, six hundred forty".