26146820 has 24 divisors (see below), whose sum is σ = 62752704. Its totient is φ = 8964576.

The previous prime is 26146801. The next prime is 26146823. The reversal of 26146820 is 2864162.

26146820 = 406² + 407² + ... + 525².

It is a super-2 number, since 2×26146820² = 1367312392224800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26146823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93242 + ... + 93521.

It is an arithmetic number, because the mean of its divisors is an integer number (2614696).

Almost surely, 2^26146820 is an apocalyptic number.

26146820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26146820 is an abundant number, since it is smaller than the sum of its proper divisors (36605884).

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

26146820 is a wasteful number, since it uses less digits than its factorization.

26146820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186779 (or 186777 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 26146820 is about 5113.3961317308. The cubic root of 26146820 is about 296.8061933984.

The spelling of 26146820 in words is "twenty-six million, one hundred forty-six thousand, eight hundred twenty".