9760500 has 120 divisors (see below), whose sum is σ = 31975944. Its totient is φ = 2592000.

The previous prime is 9760481. The next prime is 9760511. The reversal of 9760500 is 50679.

It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 9696996 = 252^2 + 3114^2 .

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

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40380 + ... + 40620.

Almost surely, 2^9760500 is an apocalyptic number.

9760500 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 9760500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15987972).

9760500 is an abundant number, since it is smaller than the sum of its proper divisors (22215444).

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

9760500 is a wasteful number, since it uses less digits than its factorization.

9760500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 9760500 is about 3124.1798923878. The cubic root of 9760500 is about 213.7095953176.

The spelling of 9760500 in words is "nine million, seven hundred sixty thousand, five hundred".