1087882752 has 240 divisors, whose sum is σ = 3315698496. Its totient is φ = 314265600.

The previous prime is 1087882739. The next prime is 1087882759. The reversal of 1087882752 is 2572887801.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087882759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16237023 + ... + 16237089.

Almost surely, 2^1087882752 is an apocalyptic number.

1087882752 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 1087882752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657849248).

1087882752 is an abundant number, since it is smaller than the sum of its proper divisors (2227815744).

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

1087882752 is an equidigital number, since it uses as much as digits as its factorization.

1087882752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 48.

The square root of 1087882752 is about 32983.0676559959. The cubic root of 1087882752 is about 1028.4756891488.

The spelling of 1087882752 in words is "one billion, eighty-seven million, eight hundred eighty-two thousand, seven hundred fifty-two".