27513920 has 112 divisors (see below), whose sum is σ = 76370688. Its totient is φ = 9246720.

The previous prime is 27513917. The next prime is 27513923. The reversal of 27513920 is 2931572.

It is an interprime number because it is at equal distance from previous prime (27513917) and next prime (27513923).

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (27513923) 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, 158954 + ... + 159126.

Almost surely, 2^27513920 is an apocalyptic number.

27513920 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 27513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38185344).

27513920 is an abundant number, since it is smaller than the sum of its proper divisors (48856768).

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

27513920 is a wasteful number, since it uses less digits than its factorization.

27513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 27513920 is about 5245.3712928638. The cubic root of 27513920 is about 301.8914569798.

The spelling of 27513920 in words is "twenty-seven million, five hundred thirteen thousand, nine hundred twenty".