27025920 has 320 divisors, whose sum is σ = 106064640. Its totient is φ = 6488064.

The previous prime is 27025877. The next prime is 27025931. The reversal of 27025920 is 2952072.

It is a happy number.

27025920 is a `hidden beast` number, since 2 + 70 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1175029 + ... + 1175051.

It is an arithmetic number, because the mean of its divisors is an integer number (331452).

Almost surely, 2^27025920 is an apocalyptic number.

27025920 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 27025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53032320).

27025920 is an abundant number, since it is smaller than the sum of its proper divisors (79038720).

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

27025920 is a wasteful number, since it uses less digits than its factorization.

27025920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 27025920 is about 5198.6459775599. The cubic root of 27025920 is about 300.0959692964.

Adding to 27025920 its reverse (2952072), we get a palindrome (29977992).

The spelling of 27025920 in words is "twenty-seven million, twenty-five thousand, nine hundred twenty".