989520 has 160 divisors (see below), whose sum is σ = 3809280. Its totient is φ = 207360.

The previous prime is 989507. The next prime is 989533. The reversal of 989520 is 25989.

989520 = 93² + 94² + ... + 155².

It is an interprime number because it is at equal distance from previous prime (989507) and next prime (989533).

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, 31905 + ... + 31935.

It is an arithmetic number, because the mean of its divisors is an integer number (23808).

2⁹⁸⁹⁵²⁰ 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 989520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904640).

989520 is an abundant number, since it is smaller than the sum of its proper divisors (2819760).

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

989520 is a wasteful number, since it uses less digits than its factorization.

989520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 989520 is about 994.7461987864. The cubic root of 989520 is about 99.6494391738.

The spelling of 989520 in words is "nine hundred eighty-nine thousand, five hundred twenty".