26953432 has 64 divisors (see below), whose sum is σ = 59875200. Its totient is φ = 11235840.

The previous prime is 26953397. The next prime is 26953439. The reversal of 26953432 is 23435962.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26953439) 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 15 ways as a sum of consecutive naturals, for example, 64119 + ... + 64537.

It is an arithmetic number, because the mean of its divisors is an integer number (935550).

Almost surely, 2^26953432 is an apocalyptic number.

26953432 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 26953432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29937600).

26953432 is an abundant number, since it is smaller than the sum of its proper divisors (32921768).

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

26953432 is a wasteful number, since it uses less digits than its factorization.

26953432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its digits is 38880, while the sum is 34.

The square root of 26953432 is about 5191.6694810051. The cubic root of 26953432 is about 299.8274266731.

It can be divided in two parts, 2695343 and 2, that multiplied together give a triangular number (5390686 = T₃₂₈₃).

The spelling of 26953432 in words is "twenty-six million, nine hundred fifty-three thousand, four hundred thirty-two".