26021952 has 168 divisors, whose sum is σ = 85770720. Its totient is φ = 7672320.

The previous prime is 26021873. The next prime is 26021959. The reversal of 26021952 is 25912062.

26021952 is a `hidden beast` number, since 2 + 602 + 1 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (26021959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 703278 + ... + 703314.

It is an arithmetic number, because the mean of its divisors is an integer number (510540).

Almost surely, 2^26021952 is an apocalyptic number.

26021952 is a gapful number since it is divisible by the number (22) 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 26021952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42885360).

26021952 is an abundant number, since it is smaller than the sum of its proper divisors (59748768).

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

26021952 is a wasteful number, since it uses less digits than its factorization.

26021952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 26021952 is about 5101.1716301258. The cubic root of 26021952 is about 296.3329586609.

It can be divided in two parts, 2602 and 1952, that added together give a palindrome (4554).

The spelling of 26021952 in words is "twenty-six million, twenty-one thousand, nine hundred fifty-two".