10540936 has 32 divisors (see below), whose sum is σ = 23143680. Its totient is φ = 4406400.

The previous prime is 10540931. The next prime is 10540963. The reversal of 10540936 is 63904501.

10540936 = T₁₆₁ + T₁₆₂ + ... + T₄₀₆.

10540936 is a nontrivial binomial coefficient, being equal to C(4592, 2).

It is a super-2 number, since 2×10540936² = 222222663512192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (10540931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 4591.

It is an arithmetic number, because the mean of its divisors is an integer number (723240).

Almost surely, 2^10540936 is an apocalyptic number.

10540936 is the 4591-st triangular number and also the 2296-th hexagonal number.

10540936 is the 1531-st centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10540936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11571840).

10540936 is an abundant number, since it is smaller than the sum of its proper divisors (12602744).

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

10540936 is a wasteful number, since it uses less digits than its factorization.

10540936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4645 (or 4641 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 10540936 is about 3246.6807665676. The cubic root of 10540936 is about 219.2601593984.

It can be divided in two parts, 10540 and 936, that added together give a triangular number (11476 = T₁₅₁).

The spelling of 10540936 in words is "ten million, five hundred forty thousand, nine hundred thirty-six".