27145040 has 80 divisors (see below), whose sum is σ = 69662208. Its totient is φ = 9773568.

The previous prime is 27145031. The next prime is 27145049. The reversal of 27145040 is 4054172.

It is an interprime number because it is at equal distance from previous prime (27145031) and next prime (27145049).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 27144997 and 27145015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27145049) 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, 44417 + ... + 45023.

Almost surely, 2^27145040 is an apocalyptic number.

27145040 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 27145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34831104).

27145040 is an abundant number, since it is smaller than the sum of its proper divisors (42517168).

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

27145040 is a wasteful number, since it uses less digits than its factorization.

27145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 27145040 is about 5210.0902103514. The cubic root of 27145040 is about 300.5362261525.

The spelling of 27145040 in words is "twenty-seven million, one hundred forty-five thousand, forty".