27297648 has 240 divisors, whose sum is σ = 97493760. Its totient is φ = 7216128.

The previous prime is 27297637. The next prime is 27297659. The reversal of 27297648 is 84679272.

It is an interprime number because it is at equal distance from previous prime (27297637) and next prime (27297659).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462643 + ... + 462701.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 2^27297648 is an apocalyptic number.

27297648 is a gapful number since it is divisible by the number (28) 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 27297648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

27297648 is an abundant number, since it is smaller than the sum of its proper divisors (70196112).

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

27297648 is a wasteful number, since it uses less digits than its factorization.

27297648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 88 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 27297648 is about 5224.7151118506. The cubic root of 27297648 is about 301.0983736764.

The spelling of 27297648 in words is "twenty-seven million, two hundred ninety-seven thousand, six hundred forty-eight".