70590240 has 288 divisors, whose sum is σ = 283046400. Its totient is φ = 15685632.

The previous prime is 70590229. The next prime is 70590241. The reversal of 70590240 is 4209507.

70590240 is a `hidden beast` number, since 70 + 590 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70590241) 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 47 ways as a sum of consecutive naturals, for example, 473686 + ... + 473834.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^70590240 is an apocalyptic number.

70590240 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 70590240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

70590240 is an abundant number, since it is smaller than the sum of its proper divisors (212456160).

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

70590240 is a wasteful number, since it uses less digits than its factorization.

70590240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 70590240 is about 8401.7998071842. The cubic root of 70590240 is about 413.2836453163.

Adding to 70590240 its reverse (4209507), we get a palindrome (74799747).

The spelling of 70590240 in words is "seventy million, five hundred ninety thousand, two hundred forty".