10497960 has 144 divisors (see below), whose sum is σ = 37657620. Its totient is φ = 2534400.

The previous prime is 10497953. The next prime is 10497961. The reversal of 10497960 is 6979401.

It can be written as a sum of positive squares in 2 ways, for example, as 10458756 + 39204 = 3234^2 + 198^2 .

It is a super-2 number, since 2×10497960² = 220414328323200, which contains 22 as substring.

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 (10497961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43440 + ... + 43680.

Almost surely, 2^10497960 is an apocalyptic number.

10497960 is a gapful number since it is divisible by the number (10) 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 10497960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18828810).

10497960 is an abundant number, since it is smaller than the sum of its proper divisors (27159660).

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

10497960 is a wasteful number, since it uses less digits than its factorization.

10497960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 10497960 is about 3240.0555550793. The cubic root of 10497960 is about 218.9617747758.

It can be divided in two parts, 1049 and 7960, that added together give a palindrome (9009).

The spelling of 10497960 in words is "ten million, four hundred ninety-seven thousand, nine hundred sixty".