26948100 has 72 divisors (see below), whose sum is σ = 79821280. Its totient is φ = 7015680.

The previous prime is 26948087. The next prime is 26948107. The reversal of 26948100 is 184962.

It is a super-2 number, since 2×26948100² = 1452400187220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (26948107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11856 + ... + 13944.

Almost surely, 2^26948100 is an apocalyptic number.

26948100 is a gapful number since it is divisible by the number (20) 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 26948100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39910640).

26948100 is an abundant number, since it is smaller than the sum of its proper divisors (52873180).

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

26948100 is a wasteful number, since it uses less digits than its factorization.

26948100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 26948100 is about 5191.1559406360. The cubic root of 26948100 is about 299.8076544815.

The spelling of 26948100 in words is "twenty-six million, nine hundred forty-eight thousand, one hundred".