27557040 has 160 divisors (see below), whose sum is σ = 99993600. Its totient is φ = 6147072.

The previous prime is 27557027. The next prime is 27557041. The reversal of 27557040 is 4075572.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 27556989 and 27557007.

It is not an unprimeable number, because it can be changed into a prime (27557041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78786 + ... + 79134.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 2^27557040 is an apocalyptic number.

27557040 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 27557040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49996800).

27557040 is an abundant number, since it is smaller than the sum of its proper divisors (72436560).

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

27557040 is a wasteful number, since it uses less digits than its factorization.

27557040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 27557040 is about 5249.4799742451. The cubic root of 27557040 is about 302.0490834363.

The spelling of 27557040 in words is "twenty-seven million, five hundred fifty-seven thousand, forty".