71009664 has 64 divisors (see below), whose sum is σ = 205778880. Its totient is φ = 21516800.

The previous prime is 71009651. The next prime is 71009677. The reversal of 71009664 is 46690017.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71009651) and next prime (71009677).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4182 + ... + 12629.

It is an arithmetic number, because the mean of its divisors is an integer number (3215295).

Almost surely, 2^71009664 is an apocalyptic number.

It is an amenable number.

71009664 is an abundant number, since it is smaller than the sum of its proper divisors (134769216).

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

71009664 is a wasteful number, since it uses less digits than its factorization.

71009664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16839 (or 16827 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 71009664 is about 8426.7232065614. The cubic root of 71009664 is about 414.1005613495.

The spelling of 71009664 in words is "seventy-one million, nine thousand, six hundred sixty-four".