1027152 has 60 divisors (see below), whose sum is σ = 3288480. Its totient is φ = 293184.

The previous prime is 1027139. The next prime is 1027153. The reversal of 1027152 is 2517201.

1027152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1027152² = 2110082462208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 499 + ... + 1517.

It is an arithmetic number, because the mean of its divisors is an integer number (54808).

2^1027152 is an apocalyptic number.

1027152 is a gapful number since it is divisible by the number (12) 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 1027152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644240).

1027152 is an abundant number, since it is smaller than the sum of its proper divisors (2261328).

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

1027152 is a wasteful number, since it uses less digits than its factorization.

1027152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 1027152 is about 1013.4850763578. The cubic root of 1027152 is about 100.8969965805.

The spelling of 1027152 in words is "one million, twenty-seven thousand, one hundred fifty-two".