71099680 has 48 divisors (see below), whose sum is σ = 169344000. Its totient is φ = 28207872.

The previous prime is 71099641. The next prime is 71099687. The reversal of 71099680 is 8699017.

It is a super-2 number, since 2×71099680² = 10110328992204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (71099687) 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, 18571 + ... + 22069.

It is an arithmetic number, because the mean of its divisors is an integer number (3528000).

Almost surely, 2^71099680 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 71099680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672000).

71099680 is an abundant number, since it is smaller than the sum of its proper divisors (98244320).

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

71099680 is a wasteful number, since it uses less digits than its factorization.

71099680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3641 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 71099680 is about 8432.0626183633. The cubic root of 71099680 is about 414.2754668209.

The spelling of 71099680 in words is "seventy-one million, ninety-nine thousand, six hundred eighty".