26078160 has 80 divisors (see below), whose sum is σ = 81405504. Its totient is φ = 6905856.

The previous prime is 26078131. The next prime is 26078179. The reversal of 26078160 is 6187062.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 46039 + ... + 46601.

Almost surely, 2^26078160 is an apocalyptic number.

26078160 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 26078160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40702752).

26078160 is an abundant number, since it is smaller than the sum of its proper divisors (55327344).

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

26078160 is a wasteful number, since it uses less digits than its factorization.

26078160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 26078160 is about 5106.6779808404. The cubic root of 26078160 is about 296.5461671686.

The spelling of 26078160 in words is "twenty-six million, seventy-eight thousand, one hundred sixty".