26488000 has 224 divisors, whose sum is σ = 83685888. Its totient is φ = 8064000.

The previous prime is 26487997. The next prime is 26488001. The reversal of 26488000 is 88462.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×26488000² = 1403228288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 26488000.

It is not an unprimeable number, because it can be changed into a prime (26488001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615979 + ... + 616021.

Almost surely, 2^26488000 is an apocalyptic number.

26488000 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 26488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41842944).

26488000 is an abundant number, since it is smaller than the sum of its proper divisors (57197888).

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

26488000 is a wasteful number, since it uses less digits than its factorization.

26488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 26488000 is about 5146.6493954805. The cubic root of 26488000 is about 298.0915893421.

26488000 divided by its sum of digits (28) gives a triangular number (946000 = T₁₃₇₅).

It can be divided in two parts, 2648 and 8000, that added together give a cube (10648 = 22³).

The spelling of 26488000 in words is "twenty-six million, four hundred eighty-eight thousand".