27148464 has 120 divisors (see below), whose sum is σ = 90684672. Its totient is φ = 7413120.

The previous prime is 27148463. The next prime is 27148489. The reversal of 27148464 is 46484172.

27148464 = 328² + 329² + ... + 488².

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27148463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22599 + ... + 23769.

Almost surely, 2^27148464 is an apocalyptic number.

27148464 is a gapful number since it is divisible by the number (24) 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 27148464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45342336).

27148464 is an abundant number, since it is smaller than the sum of its proper divisors (63536208).

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

27148464 is a wasteful number, since it uses less digits than its factorization.

27148464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1206 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 27148464 is about 5210.4187931490. The cubic root of 27148464 is about 300.5488618897.

The spelling of 27148464 in words is "twenty-seven million, one hundred forty-eight thousand, four hundred sixty-four".