1087152 has 80 divisors (see below), whose sum is σ = 3214080. Its totient is φ = 313600.

The previous prime is 1087147. The next prime is 1087159. The reversal of 1087152 is 2517801.

It is a super-2 number, since 2×1087152² = 2363798942208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1087159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15277 + ... + 15347.

It is an arithmetic number, because the mean of its divisors is an integer number (40176).

2^1087152 is an apocalyptic number.

1087152 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 1087152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607040).

1087152 is an abundant number, since it is smaller than the sum of its proper divisors (2126928).

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

1087152 is a wasteful number, since it uses less digits than its factorization.

1087152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 1087152 is about 1042.6658141514. The cubic root of 1087152 is about 102.8245355194.

It can be divided in two parts, 108 and 7152, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 1087152 in words is "one million, eighty-seven thousand, one hundred fifty-two".