1087236864 has 288 divisors, whose sum is σ = 3838141440. Its totient is φ = 296828928.

The previous prime is 1087236863. The next prime is 1087236869. The reversal of 1087236864 is 4686327801.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1087236863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1112344 + ... + 1113320.

It is an arithmetic number, because the mean of its divisors is an integer number (13326880).

Almost surely, 2^1087236864 is an apocalyptic number.

1087236864 is a gapful number since it is divisible by the number (14) 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 1087236864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919070720).

1087236864 is an abundant number, since it is smaller than the sum of its proper divisors (2750904576).

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

1087236864 is an equidigital number, since it uses as much as digits as its factorization.

1087236864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1087236864 is about 32973.2749965787. The cubic root of 1087236864 is about 1028.2721097307.

The spelling of 1087236864 in words is "one billion, eighty-seven million, two hundred thirty-six thousand, eight hundred sixty-four".