10537820 has 48 divisors (see below), whose sum is σ = 23115456. Its totient is φ = 4032000.

The previous prime is 10537819. The next prime is 10537843. The reversal of 10537820 is 2873501.

It is a super-2 number, since 2×10537820² = 222091300704800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10537820.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58130 + ... + 58310.

It is an arithmetic number, because the mean of its divisors is an integer number (481572).

Almost surely, 2^10537820 is an apocalyptic number.

10537820 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 10537820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557728).

10537820 is an abundant number, since it is smaller than the sum of its proper divisors (12577636).

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

10537820 is a wasteful number, since it uses less digits than its factorization.

10537820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 10537820 is about 3246.2008563858. The cubic root of 10537820 is about 219.2385521461.

The spelling of 10537820 in words is "ten million, five hundred thirty-seven thousand, eight hundred twenty".