26048520 has 128 divisors (see below), whose sum is σ = 88128000. Its totient is φ = 6842880.

The previous prime is 26048513. The next prime is 26048531. The reversal of 26048520 is 2584062.

26048520 = 165² + 166² + ... + 435².

26048520 is a `hidden beast` number, since 2 + 604 + 8 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95985 + ... + 96255.

It is an arithmetic number, because the mean of its divisors is an integer number (688500).

Almost surely, 2^26048520 is an apocalyptic number.

26048520 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 26048520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44064000).

26048520 is an abundant number, since it is smaller than the sum of its proper divisors (62079480).

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

26048520 is a wasteful number, since it uses less digits than its factorization.

26048520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 26048520 is about 5103.7750734138. The cubic root of 26048520 is about 296.4337747740.

The spelling of 26048520 in words is "twenty-six million, forty-eight thousand, five hundred twenty".