70575840 has 288 divisors, whose sum is σ = 270254880. Its totient is φ = 17141760.

The previous prime is 70575829. The next prime is 70575851. The reversal of 70575840 is 4857507.

70575840 is a `hidden beast` number, since 7 + 0 + 575 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (70575829) and next prime (70575851).

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

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 = 70575795 and 70575804.

It is a congruent number.

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, 2276625 + ... + 2276655.

It is an arithmetic number, because the mean of its divisors is an integer number (938385).

Almost surely, 2^70575840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70575840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135127440).

70575840 is an abundant number, since it is smaller than the sum of its proper divisors (199679040).

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

70575840 is a wasteful number, since it uses less digits than its factorization.

70575840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 70575840 is about 8400.9428042333. The cubic root of 70575840 is about 413.2555409154.

The spelling of 70575840 in words is "seventy million, five hundred seventy-five thousand, eight hundred forty".