705416160 has 96 divisors (see below), whose sum is σ = 2293788672. Its totient is φ = 182039040.

The previous prime is 705416143. The next prime is 705416177. The reversal of 705416160 is 61614507.

It is an interprime number because it is at equal distance from previous prime (705416143) and next prime (705416177).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×705416160² = 995223917578291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8824 + ... + 38583.

It is an arithmetic number, because the mean of its divisors is an integer number (23893632).

Almost surely, 2^705416160 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 705416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146894336).

705416160 is an abundant number, since it is smaller than the sum of its proper divisors (1588372512).

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

705416160 is a wasteful number, since it uses less digits than its factorization.

705416160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47456 (or 47448 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 705416160 is about 26559.6716847178. The cubic root of 705416160 is about 890.1881351215.

The spelling of 705416160 in words is "seven hundred five million, four hundred sixteen thousand, one hundred sixty".