26946540 has 96 divisors (see below), whose sum is σ = 84672000. Its totient is φ = 7114176.

The previous prime is 26946527. The next prime is 26946583. The reversal of 26946540 is 4564962.

26946540 is a `hidden beast` number, since 26 + 94 + 6 + 540 = 666.

It is a super-2 number, since 2×26946540² = 1452232035943200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26946495 and 26946504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74881 + ... + 75239.

It is an arithmetic number, because the mean of its divisors is an integer number (882000).

Almost surely, 2^26946540 is an apocalyptic number.

26946540 is a gapful number since it is divisible by the number (20) 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 26946540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42336000).

26946540 is an abundant number, since it is smaller than the sum of its proper divisors (57725460).

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

26946540 is a wasteful number, since it uses less digits than its factorization.

26946540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 26946540 is about 5191.0056829096. The cubic root of 26946540 is about 299.8018691761.

The spelling of 26946540 in words is "twenty-six million, nine hundred forty-six thousand, five hundred forty".