26628690 has 128 divisors (see below), whose sum is σ = 76308480. Its totient is φ = 5875200.

The previous prime is 26628677. The next prime is 26628697. The reversal of 26628690 is 9682662.

It is a super-2 number, since 2×26628690² = 1418174262232200, which contains 22 as substring.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (26628697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194302 + ... + 194438.

It is an arithmetic number, because the mean of its divisors is an integer number (596160).

Almost surely, 2^26628690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26628690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38154240).

26628690 is an abundant number, since it is smaller than the sum of its proper divisors (49679790).

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

26628690 is a wasteful number, since it uses less digits than its factorization.

26628690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208.

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 26628690 is about 5160.2994099180. The cubic root of 26628690 is about 298.6184250469.

The spelling of 26628690 in words is "twenty-six million, six hundred twenty-eight thousand, six hundred ninety".