26661920 has 48 divisors (see below), whose sum is σ = 63903168. Its totient is φ = 10510080.

The previous prime is 26661893. The next prime is 26661937. The reversal of 26661920 is 2916662.

26661920 = 273² + 274² + ... + 464².

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10187 + ... + 12533.

It is an arithmetic number, because the mean of its divisors is an integer number (1331316).

Almost surely, 2^26661920 is an apocalyptic number.

26661920 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 26661920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31951584).

26661920 is an abundant number, since it is smaller than the sum of its proper divisors (37241248).

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

26661920 is a wasteful number, since it uses less digits than its factorization.

26661920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 26661920 is about 5163.5181804657. The cubic root of 26661920 is about 298.7425889398.

The spelling of 26661920 in words is "twenty-six million, six hundred sixty-one thousand, nine hundred twenty".