705516840 has 96 divisors (see below), whose sum is σ = 2620500480. Its totient is φ = 161260416.

The previous prime is 705516829. The next prime is 705516841. The reversal of 705516840 is 48615507.

705516840 is a `hidden beast` number, since 7 + 0 + 551 + 68 + 40 = 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 = 705516795 and 705516804.

It is not an unprimeable number, because it can be changed into a prime (705516841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137464 + ... + 142503.

It is an arithmetic number, because the mean of its divisors is an integer number (27296880).

Almost surely, 2^705516840 is an apocalyptic number.

705516840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

705516840 is an abundant number, since it is smaller than the sum of its proper divisors (1914983640).

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

705516840 is a wasteful number, since it uses less digits than its factorization.

705516840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279991 (or 279984 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 705516840 is about 26561.5669718486. The cubic root of 705516840 is about 890.2304835880.

The spelling of 705516840 in words is "seven hundred five million, five hundred sixteen thousand, eight hundred forty".