26148000 has 96 divisors (see below), whose sum is σ = 85700160. Its totient is φ = 6969600.

The previous prime is 26147981. The next prime is 26148019. The reversal of 26148000 is 84162.

It is an interprime number because it is at equal distance from previous prime (26147981) and next prime (26148019).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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, 10911 + ... + 13089.

It is an arithmetic number, because the mean of its divisors is an integer number (892710).

Almost surely, 2^26148000 is an apocalyptic number.

26148000 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 26148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42850080).

26148000 is an abundant number, since it is smaller than the sum of its proper divisors (59552160).

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

26148000 is a wasteful number, since it uses less digits than its factorization.

26148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 26148000 is about 5113.5115136274. The cubic root of 26148000 is about 296.8106582631.

The spelling of 26148000 in words is "twenty-six million, one hundred forty-eight thousand".