705594240 has 384 divisors, whose sum is σ = 2728908000. Its totient is φ = 173187072.

The previous prime is 705594233. The next prime is 705594277. The reversal of 705594240 is 42495507.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 705594195 and 705594204.

It is a congruent number.

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, 2021586 + ... + 2021934.

Almost surely, 2^705594240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705594240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364454000).

705594240 is an abundant number, since it is smaller than the sum of its proper divisors (2023313760).

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

705594240 is a wasteful number, since it uses less digits than its factorization.

705594240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 705594240 is about 26563.0239242448. The cubic root of 705594240 is about 890.2630371790.

The spelling of 705594240 in words is "seven hundred five million, five hundred ninety-four thousand, two hundred forty".