70882560 has 288 divisors, whose sum is σ = 288449280. Its totient is φ = 16146432.

The previous prime is 70882547. The next prime is 70882589. The reversal of 70882560 is 6528807.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241774 + ... + 242066.

It is an arithmetic number, because the mean of its divisors is an integer number (1001560).

Almost surely, 2^70882560 is an apocalyptic number.

70882560 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 70882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144224640).

70882560 is an abundant number, since it is smaller than the sum of its proper divisors (217566720).

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

70882560 is a wasteful number, since it uses less digits than its factorization.

70882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 310 counting only the distinct ones).

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

The square root of 70882560 is about 8419.1781071551. The cubic root of 70882560 is about 413.8533401963.

The spelling of 70882560 in words is "seventy million, eight hundred eighty-two thousand, five hundred sixty".