10540376 has 64 divisors (see below), whose sum is σ = 25090560. Its totient is φ = 4032000.

The previous prime is 10540367. The next prime is 10540379. The reversal of 10540376 is 67304501.

It is a super-2 number, since 2×10540376² = 222199052442752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540379) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43616 + ... + 43856.

It is an arithmetic number, because the mean of its divisors is an integer number (392040).

Almost surely, 2^10540376 is an apocalyptic number.

10540376 is the 2651-st pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10540376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12545280).

10540376 is an abundant number, since it is smaller than the sum of its proper divisors (14550184).

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

10540376 is a wasteful number, since it uses less digits than its factorization.

10540376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 10540376 is about 3246.5945234969. The cubic root of 10540376 is about 219.2562765091.

Adding to 10540376 its reverse (67304501), we get a palindrome (77844877).

The spelling of 10540376 in words is "ten million, five hundred forty thousand, three hundred seventy-six".