26829940 has 24 divisors (see below), whose sum is σ = 56979720. Its totient is φ = 10610688.

The previous prime is 26829931. The next prime is 26829947. The reversal of 26829940 is 4992862.

It can be written as a sum of positive squares in 4 ways, for example, as 574564 + 26255376 = 758^2 + 5124^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 26829893 and 26829902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26829947) 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, 5757 + ... + 9316.

It is an arithmetic number, because the mean of its divisors is an integer number (2374155).

Almost surely, 2^26829940 is an apocalyptic number.

26829940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26829940 is an abundant number, since it is smaller than the sum of its proper divisors (30149780).

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

26829940 is a wasteful number, since it uses less digits than its factorization.

26829940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15171 (or 15169 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 26829940 is about 5179.7625428199. The cubic root of 26829940 is about 299.3688211235.

The spelling of 26829940 in words is "twenty-six million, eight hundred twenty-nine thousand, nine hundred forty".