71064900 has 81 divisors (see below), whose sum is σ = 223544503. Its totient is φ = 18883200.

The previous prime is 71064887. The next prime is 71064907. The reversal of 71064900 is 946017.

The square root of 71064900 is 8430.

It is a perfect power (a square), and thus also a powerful number.

71064900 is a `hidden beast` number, since 7 + 10 + 649 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101124 + 70963776 = 318^2 + 8424^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71064907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 252760 + ... + 253040.

Almost surely, 2^71064900 is an apocalyptic number.

71064900 is the 8430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71064900

71064900 is an abundant number, since it is smaller than the sum of its proper divisors (152479603).

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

71064900 is a wasteful number, since it uses less digits than its factorization.

71064900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The cubic root of 71064900 is about 414.2079050973.

The spelling of 71064900 in words is "seventy-one million, sixty-four thousand, nine hundred".