9614880 has 144 divisors (see below), whose sum is σ = 35852544. Its totient is φ = 2327040.

The previous prime is 9614879. The next prime is 9614887. The reversal of 9614880 is 884169.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9614887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15537 + ... + 16143.

It is an arithmetic number, because the mean of its divisors is an integer number (248976).

Almost surely, 2^9614880 is an apocalyptic number.

9614880 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 9614880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926272).

9614880 is an abundant number, since it is smaller than the sum of its proper divisors (26237664).

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

9614880 is a wasteful number, since it uses less digits than its factorization.

9614880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 9614880 is about 3100.7869968768. The cubic root of 9614880 is about 212.6414652033.

The spelling of 9614880 in words is "nine million, six hundred fourteen thousand, eight hundred eighty".