10953540 has 144 divisors (see below), whose sum is σ = 37180416. Its totient is φ = 2592000.

The previous prime is 10953533. The next prime is 10953541. The reversal of 10953540 is 4535901.

10953540 is a nontrivial binomial coefficient, being equal to C(4681, 2).

It is not an unprimeable number, because it can be changed into a prime (10953541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72465 + ... + 72615.

Almost surely, 2^10953540 is an apocalyptic number.

10953540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10953540 is the 4680-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10953540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18590208).

10953540 is an abundant number, since it is smaller than the sum of its proper divisors (26226876).

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

10953540 is a wasteful number, since it uses less digits than its factorization.

10953540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 10953540 is about 3309.6132704593. The cubic root of 10953540 is about 222.0844577601.

The spelling of 10953540 in words is "ten million, nine hundred fifty-three thousand, five hundred forty".