70585344 has 220 divisors, whose sum is σ = 225890544. Its totient is φ = 21897216.

The previous prime is 70585303. The next prime is 70585349. The reversal of 70585344 is 44358507.

70585344 is a `hidden beast` number, since 70 + 58 + 534 + 4 = 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 = 70585299 and 70585308.

It is not an unprimeable number, because it can be changed into a prime (70585349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1907694 + ... + 1907730.

Almost surely, 2^70585344 is an apocalyptic number.

70585344 is a gapful number since it is divisible by the number (74) 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 70585344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112945272).

70585344 is an abundant number, since it is smaller than the sum of its proper divisors (155305200).

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

70585344 is a wasteful number, since it uses less digits than its factorization.

70585344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 70585344 is about 8401.5084359893. The cubic root of 70585344 is about 413.2740902488.

The spelling of 70585344 in words is "seventy million, five hundred eighty-five thousand, three hundred forty-four".