9971520 has 224 divisors, whose sum is σ = 36868608. Its totient is φ = 2260992.

The previous prime is 9971519. The next prime is 9971539. The reversal of 9971520 is 251799.

It is a super-2 number, since 2×9971520² = 198862422220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212137 + ... + 212183.

It is an arithmetic number, because the mean of its divisors is an integer number (164592).

Almost surely, 2^9971520 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 9971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434304).

9971520 is an abundant number, since it is smaller than the sum of its proper divisors (26897088).

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

9971520 is a wasteful number, since it uses less digits than its factorization.

9971520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 9971520 is about 3157.7713660112. The cubic root of 9971520 is about 215.2387468639.

The spelling of 9971520 in words is "nine million, nine hundred seventy-one thousand, five hundred twenty".