26653242 has 64 divisors (see below), whose sum is σ = 68640768. Its totient is φ = 6696000.

The previous prime is 26653241. The next prime is 26653243. The reversal of 26653242 is 24235662.

It is an interprime number because it is at equal distance from previous prime (26653241) and next prime (26653243).

It is a super-2 number, since 2×26653242² = 1420790618221128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26653241) by changing a digit.

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, 13392 + ... + 15252.

It is an arithmetic number, because the mean of its divisors is an integer number (1072512).

Almost surely, 2^26653242 is an apocalyptic number.

26653242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 26653242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34320384).

26653242 is an abundant number, since it is smaller than the sum of its proper divisors (41987526).

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

26653242 is a wasteful number, since it uses less digits than its factorization.

26653242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915.

The product of its digits is 17280, while the sum is 30.

The square root of 26653242 is about 5162.6777935486. The cubic root of 26653242 is about 298.7101735510.

The spelling of 26653242 in words is "twenty-six million, six hundred fifty-three thousand, two hundred forty-two".