26900160 has 112 divisors (see below), whose sum is σ = 97633536. Its totient is φ = 6147072.

The previous prime is 26900149. The next prime is 26900173. The reversal of 26900160 is 6100962.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 26900160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4719 + ... + 8721.

It is an arithmetic number, because the mean of its divisors is an integer number (871728).

Almost surely, 2^26900160 is an apocalyptic number.

26900160 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 26900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48816768).

26900160 is an abundant number, since it is smaller than the sum of its proper divisors (70733376).

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

26900160 is a wasteful number, since it uses less digits than its factorization.

26900160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4030 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 26900160 is about 5186.5364165308. The cubic root of 26900160 is about 299.6297654982.

The spelling of 26900160 in words is "twenty-six million, nine hundred thousand, one hundred sixty".