705134640 has 240 divisors, whose sum is σ = 2568907008. Its totient is φ = 156731904.

The previous prime is 705134627. The next prime is 705134659. The reversal of 705134640 is 46431507.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 705134598 and 705134607.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3106207 + ... + 3106433.

Almost surely, 2^705134640 is an apocalyptic number.

705134640 is a gapful number since it is divisible by the number (70) 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 705134640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284453504).

705134640 is an abundant number, since it is smaller than the sum of its proper divisors (1863772368).

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

705134640 is a wasteful number, since it uses less digits than its factorization.

705134640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 705134640 is about 26554.3713915431. The cubic root of 705134640 is about 890.0696995450.

The spelling of 705134640 in words is "seven hundred five million, one hundred thirty-four thousand, six hundred forty".