27461148 has 72 divisors (see below), whose sum is σ = 75753216. Its totient is φ = 7675200.

The previous prime is 27461143. The next prime is 27461153. The reversal of 27461148 is 84116472.

It is an interprime number because it is at equal distance from previous prime (27461143) and next prime (27461153).

It is a super-2 number, since 2×27461148² = 1508229298955808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27461143) 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, 21693 + ... + 22923.

It is an arithmetic number, because the mean of its divisors is an integer number (1052128).

Almost surely, 2^27461148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27461148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37876608).

27461148 is an abundant number, since it is smaller than the sum of its proper divisors (48292068).

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

27461148 is a wasteful number, since it uses less digits than its factorization.

27461148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1260 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 27461148 is about 5240.3385386824. The cubic root of 27461148 is about 301.6983230755.

The spelling of 27461148 in words is "twenty-seven million, four hundred sixty-one thousand, one hundred forty-eight".