26011140 has 48 divisors (see below), whose sum is σ = 73664640. Its totient is φ = 6856960.

The previous prime is 26011129. The next prime is 26011147. The reversal of 26011140 is 4111062.

26011140 = 496² + 497² + ... + 584².

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (26011147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2905 + ... + 7775.

It is an arithmetic number, because the mean of its divisors is an integer number (1534680).

Almost surely, 2^26011140 is an apocalyptic number.

26011140 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 26011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36832320).

26011140 is an abundant number, since it is smaller than the sum of its proper divisors (47653500).

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

26011140 is a wasteful number, since it uses less digits than its factorization.

26011140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4972 (or 4970 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 26011140 is about 5100.1117634813. Note that the first 3 decimals coincide. The cubic root of 26011140 is about 296.2919113201.

It can be divided in two parts, 2601 and 1140, that added together give a triangular number (3741 = T₈₆).

The spelling of 26011140 in words is "twenty-six million, eleven thousand, one hundred forty".