705286890 has 384 divisors, whose sum is σ = 2444083200. Its totient is φ = 139708800.

The previous prime is 705286781. The next prime is 705286891. The reversal of 705286890 is 98682507.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (705286891) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10526637 + ... + 10526703.

It is an arithmetic number, because the mean of its divisors is an integer number (6364800).

Almost surely, 2^705286890 is an apocalyptic number.

705286890 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 705286890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222041600).

705286890 is an abundant number, since it is smaller than the sum of its proper divisors (1738796310).

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

705286890 is a wasteful number, since it uses less digits than its factorization.

705286890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 705286890 is about 26557.2379964484. The cubic root of 705286890 is about 890.1337550941.

The spelling of 705286890 in words is "seven hundred five million, two hundred eighty-six thousand, eight hundred ninety".