705283632 has 80 divisors (see below), whose sum is σ = 2036342880. Its totient is φ = 233710848.

The previous prime is 705283613. The next prime is 705283633. The reversal of 705283632 is 236382507.

705283632 is a `hidden beast` number, since 70 + 528 + 3 + 63 + 2 = 666.

It is a super-2 number, since 2×705283632² = 994850003134222848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (705283633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70018 + ... + 79454.

It is an arithmetic number, because the mean of its divisors is an integer number (25454286).

Almost surely, 2^705283632 is an apocalyptic number.

705283632 is a gapful number since it is divisible by the number (72) 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 705283632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018171440).

705283632 is an abundant number, since it is smaller than the sum of its proper divisors (1331059248).

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

705283632 is a wasteful number, since it uses less digits than its factorization.

705283632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9627 (or 9615 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 705283632 is about 26557.1766571675. The cubic root of 705283632 is about 890.1323844650.

The spelling of 705283632 in words is "seven hundred five million, two hundred eighty-three thousand, six hundred thirty-two".