9640080 has 80 divisors (see below), whose sum is σ = 33212160. Its totient is φ = 2570112.

The previous prime is 9640061. The next prime is 9640109. The reversal of 9640080 is 800469.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×9640080² = 185862284812800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72 + ... + 4391.

It is an arithmetic number, because the mean of its divisors is an integer number (415152).

Almost surely, 2^9640080 is an apocalyptic number.

9640080 is a gapful number since it is divisible by the number (90) 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 9640080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16606080).

9640080 is an abundant number, since it is smaller than the sum of its proper divisors (23572080).

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

9640080 is a wasteful number, since it uses less digits than its factorization.

9640080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4485 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9640080 is about 3104.8478223578. The cubic root of 9640080 is about 212.8270764725.

The spelling of 9640080 in words is "nine million, six hundred forty thousand, eighty".