71415648 has 48 divisors (see below), whose sum is σ = 208298160. Its totient is φ = 23804928.

The previous prime is 71415637. The next prime is 71415649. The reversal of 71415648 is 84651417.

It is a happy number.

71415648 is a `hidden beast` number, since 7 + 1 + 4 + 1 + 5 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×71415648³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71415649) by changing a digit.

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, 40465 + ... + 42192.

It is an arithmetic number, because the mean of its divisors is an integer number (4339545).

Almost surely, 2^71415648 is an apocalyptic number.

It is an amenable number.

71415648 is an abundant number, since it is smaller than the sum of its proper divisors (136882512).

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

71415648 is a wasteful number, since it uses less digits than its factorization.

71415648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82676 (or 82662 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 71415648 is about 8450.7779523544. Note that the first 3 decimals coincide. The cubic root of 71415648 is about 414.8882420313. Note that the first 3 decimals are identical.

The spelling of 71415648 in words is "seventy-one million, four hundred fifteen thousand, six hundred forty-eight".