71638480 has 40 divisors (see below), whose sum is σ = 170629704. Its totient is φ = 27955200.

The previous prime is 71638471. The next prime is 71638507. The reversal of 71638480 is 8483617.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8340544 + 63297936 = 2888^2 + 7956^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 7641 + ... + 14200.

Almost surely, 2^71638480 is an apocalyptic number.

It is an amenable number.

71638480 is an abundant number, since it is smaller than the sum of its proper divisors (98991224).

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

71638480 is a wasteful number, since it uses less digits than its factorization.

71638480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21895 (or 21889 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 71638480 is about 8463.9517957039. The cubic root of 71638480 is about 415.3193071677.

The spelling of 71638480 in words is "seventy-one million, six hundred thirty-eight thousand, four hundred eighty".