26452920 has 128 divisors (see below), whose sum is σ = 88381440. Its totient is φ = 6289920.

The previous prime is 26452903. The next prime is 26452939. The reversal of 26452920 is 2925462.

26452920 = T₁₈₉ + T₁₉₀ + ... + T₅₄₈.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 48087 + ... + 48633.

It is an arithmetic number, because the mean of its divisors is an integer number (690480).

Almost surely, 2^26452920 is an apocalyptic number.

26452920 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 26452920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44190720).

26452920 is an abundant number, since it is smaller than the sum of its proper divisors (61928520).

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

26452920 is a wasteful number, since it uses less digits than its factorization.

26452920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 26452920 is about 5143.2402238278. The cubic root of 26452920 is about 297.9599363584.

It can be divided in two parts, 26452 and 920, that added together give a palindrome (27372).

The spelling of 26452920 in words is "twenty-six million, four hundred fifty-two thousand, nine hundred twenty".