70828560 has 240 divisors, whose sum is σ = 269149440. Its totient is φ = 17107200.

The previous prime is 70828531. The next prime is 70828567. The reversal of 70828560 is 6582807.

70828560 is a `hidden beast` number, since 70 + 8 + 28 + 560 = 666.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (70828567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261225 + ... + 261495.

It is an arithmetic number, because the mean of its divisors is an integer number (1121456).

Almost surely, 2^70828560 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 70828560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134574720).

70828560 is an abundant number, since it is smaller than the sum of its proper divisors (198320880).

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

70828560 is a wasteful number, since it uses less digits than its factorization.

70828560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 70828560 is about 8415.9705322678. The cubic root of 70828560 is about 413.7482190971.

The spelling of 70828560 in words is "seventy million, eight hundred twenty-eight thousand, five hundred sixty".