27745920 has 96 divisors (see below), whose sum is σ = 95830020. Its totient is φ = 7397376.

The previous prime is 27745903. The next prime is 27745937. The reversal of 27745920 is 2954772.

It is an interprime number because it is at equal distance from previous prime (27745903) and next prime (27745937).

It can be written as a sum of positive squares in 2 ways, for example, as 25160256 + 2585664 = 5016^2 + 1608^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3352 + ... + 8168.

Almost surely, 2^27745920 is an apocalyptic number.

27745920 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 27745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47915010).

27745920 is an abundant number, since it is smaller than the sum of its proper divisors (68084100).

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

27745920 is a wasteful number, since it uses less digits than its factorization.

27745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4842 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 27745920 is about 5267.4396057288. The cubic root of 27745920 is about 302.7376090009.

The spelling of 27745920 in words is "twenty-seven million, seven hundred forty-five thousand, nine hundred twenty".