71408960 has 112 divisors (see below), whose sum is σ = 197510400. Its totient is φ = 24084480.

The previous prime is 71408917. The next prime is 71408963. The reversal of 71408960 is 6980417.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 71408960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71408963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158816 + ... + 159264.

Almost surely, 2^71408960 is an apocalyptic number.

71408960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98755200).

71408960 is an abundant number, since it is smaller than the sum of its proper divisors (126101440).

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

71408960 is a wasteful number, since it uses less digits than its factorization.

71408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 71408960 is about 8450.3822398753. The cubic root of 71408960 is about 414.8752903451.

The spelling of 71408960 in words is "seventy-one million, four hundred eight thousand, nine hundred sixty".