71468640 has 144 divisors (see below), whose sum is σ = 251911296. Its totient is φ = 18432000.

The previous prime is 71468627. The next prime is 71468641. The reversal of 71468640 is 4686417.

71468640 is a `hidden beast` number, since 7 + 1 + 4 + 6 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 71468595 and 71468604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71468641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43840 + ... + 45440.

It is an arithmetic number, because the mean of its divisors is an integer number (1749384).

Almost surely, 2^71468640 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 71468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125955648).

71468640 is an abundant number, since it is smaller than the sum of its proper divisors (180442656).

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

71468640 is a wasteful number, since it uses less digits than its factorization.

71468640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 71468640 is about 8453.9127035947. The cubic root of 71468640 is about 414.9908354293.

The spelling of 71468640 in words is "seventy-one million, four hundred sixty-eight thousand, six hundred forty".