9964980 has 144 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 2424576.

The previous prime is 9964979. The next prime is 9965023. The reversal of 9964980 is 894699.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120019 + ... + 120101.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 2^9964980 is an apocalyptic number.

9964980 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 9964980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

9964980 is an abundant number, since it is smaller than the sum of its proper divisors (23057100).

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

9964980 is a wasteful number, since it uses less digits than its factorization.

9964980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9964980 is about 3156.7356557051. The cubic root of 9964980 is about 215.1916805101.

The spelling of 9964980 in words is "nine million, nine hundred sixty-four thousand, nine hundred eighty".