71630496 has 72 divisors (see below), whose sum is σ = 232805664. Its totient is φ = 20465280.

The previous prime is 71630479. The next prime is 71630497. The reversal of 71630496 is 69403617.

71630496 is a `hidden beast` number, since 7 + 163 + 0 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 71630496.

It is not an unprimeable number, because it can be changed into a prime (71630497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15750 + ... + 19781.

It is an arithmetic number, because the mean of its divisors is an integer number (3233412).

Almost surely, 2^71630496 is an apocalyptic number.

It is an amenable number.

71630496 is an abundant number, since it is smaller than the sum of its proper divisors (161175168).

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

71630496 is a wasteful number, since it uses less digits than its factorization.

71630496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35554 (or 35543 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 71630496 is about 8463.4801352635. The cubic root of 71630496 is about 415.3038776921.

The spelling of 71630496 in words is "seventy-one million, six hundred thirty thousand, four hundred ninety-six".