9610920 has 128 divisors (see below), whose sum is σ = 34992000. Its totient is φ = 2327040.

The previous prime is 9610897. The next prime is 9610927. The reversal of 9610920 is 290169.

It is a happy number.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9610927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11476 + ... + 12284.

It is an arithmetic number, because the mean of its divisors is an integer number (273375).

Almost surely, 2^9610920 is an apocalyptic number.

9610920 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 9610920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17496000).

9610920 is an abundant number, since it is smaller than the sum of its proper divisors (25381080).

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

9610920 is a wasteful number, since it uses less digits than its factorization.

9610920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 9610920 is about 3100.1483835455. The cubic root of 9610920 is about 212.6122682422.

The spelling of 9610920 in words is "nine million, six hundred ten thousand, nine hundred twenty".