71008434 has 64 divisors (see below), whose sum is σ = 189849600. Its totient is φ = 19218384.

The previous prime is 71008411. The next prime is 71008451. The reversal of 71008434 is 43480017.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 71008398 and 71008407.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2239 + ... + 12125.

It is an arithmetic number, because the mean of its divisors is an integer number (2966400).

Almost surely, 2^71008434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71008434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94924800).

71008434 is an abundant number, since it is smaller than the sum of its proper divisors (118841166).

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

71008434 is a wasteful number, since it uses less digits than its factorization.

71008434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9924 (or 9918 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 71008434 is about 8426.6502241401. The cubic root of 71008434 is about 414.0981703762.

The spelling of 71008434 in words is "seventy-one million, eight thousand, four hundred thirty-four".