27020952 has 240 divisors, whose sum is σ = 94350960. Its totient is φ = 7185024.

The previous prime is 27020951. The next prime is 27020957. The reversal of 27020952 is 25902072.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27020951) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 730278 + ... + 730314.

It is an arithmetic number, because the mean of its divisors is an integer number (393129).

Almost surely, 2^27020952 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 27020952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47175480).

27020952 is an abundant number, since it is smaller than the sum of its proper divisors (67330008).

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

27020952 is a wasteful number, since it uses less digits than its factorization.

27020952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 27020952 is about 5198.1681388735. The cubic root of 27020952 is about 300.0775799361.

It can be divided in two parts, 27020 and 952, that added together give a palindrome (27972).

The spelling of 27020952 in words is "twenty-seven million, twenty thousand, nine hundred fifty-two".