705066840 has 192 divisors, whose sum is σ = 2532254400. Its totient is φ = 169230336.

The previous prime is 705066833. The next prime is 705066841. The reversal of 705066840 is 48660507.

It is a happy number.

705066840 is a `hidden beast` number, since 70 + 506 + 6 + 84 + 0 = 666.

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 = 705066795 and 705066804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705066841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138256 + ... + 143264.

It is an arithmetic number, because the mean of its divisors is an integer number (13188825).

Almost surely, 2^705066840 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 705066840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266127200).

705066840 is an abundant number, since it is smaller than the sum of its proper divisors (1827187560).

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

705066840 is a wasteful number, since it uses less digits than its factorization.

705066840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 705066840 is about 26553.0947348892. The cubic root of 705066840 is about 890.0411713479.

The spelling of 705066840 in words is "seven hundred five million, sixty-six thousand, eight hundred forty".