26142920 has 64 divisors (see below), whose sum is σ = 62899200. Its totient is φ = 9757440.

The previous prime is 26142913. The next prime is 26142929. The reversal of 26142920 is 2924162.

It is a super-2 number, since 2×26142920² = 1366904532252800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26142920.

It is not an unprimeable number, because it can be changed into a prime (26142929) 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, 35597 + ... + 36323.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^26142920 is an apocalyptic number.

26142920 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 26142920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449600).

26142920 is an abundant number, since it is smaller than the sum of its proper divisors (36756280).

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

26142920 is a wasteful number, since it uses less digits than its factorization.

26142920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 26142920 is about 5113.0147662607. The cubic root of 26142920 is about 296.7914356865.

The spelling of 26142920 in words is "twenty-six million, one hundred forty-two thousand, nine hundred twenty".