26946500 has 48 divisors (see below), whose sum is σ = 67267200. Its totient is φ = 9237600.

The previous prime is 26946473. The next prime is 26946523. The reversal of 26946500 is 564962.

It is a super-2 number, since 2×26946500² = 1452227724500000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350 + ... + 7349.

It is an arithmetic number, because the mean of its divisors is an integer number (1401400).

Almost surely, 2^26946500 is an apocalyptic number.

26946500 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 26946500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33633600).

26946500 is an abundant number, since it is smaller than the sum of its proper divisors (40320700).

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

26946500 is a wasteful number, since it uses less digits than its factorization.

26946500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7725 (or 7713 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 26946500 is about 5191.0018300902. The cubic root of 26946500 is about 299.8017208320.

The spelling of 26946500 in words is "twenty-six million, nine hundred forty-six thousand, five hundred".