26742144 has 128 divisors (see below), whose sum is σ = 83623680. Its totient is φ = 7464960.

The previous prime is 26742137. The next prime is 26742151. The reversal of 26742144 is 44124762.

It is an interprime number because it is at equal distance from previous prime (26742137) and next prime (26742151).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54669 + ... + 55155.

It is an arithmetic number, because the mean of its divisors is an integer number (653310).

Almost surely, 2^26742144 is an apocalyptic number.

26742144 is a gapful number since it is divisible by the number (24) 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 26742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41811840).

26742144 is an abundant number, since it is smaller than the sum of its proper divisors (56881536).

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

26742144 is a wasteful number, since it uses less digits than its factorization.

26742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 516 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 26742144 is about 5171.2806924397. The cubic root of 26742144 is about 299.0419213191.

The spelling of 26742144 in words is "twenty-six million, seven hundred forty-two thousand, one hundred forty-four".