1087381920 has 96 divisors (see below), whose sum is σ = 3489962112. Its totient is φ = 284490752.

The previous prime is 1087381907. The next prime is 1087381957. The reversal of 1087381920 is 291837801.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4069 + ... + 46811.

It is an arithmetic number, because the mean of its divisors is an integer number (36353772).

Almost surely, 2^1087381920 is an apocalyptic number.

1087381920 is a gapful number since it is divisible by the number (10) 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 1087381920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744981056).

1087381920 is an abundant number, since it is smaller than the sum of its proper divisors (2402580192).

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

1087381920 is a wasteful number, since it uses less digits than its factorization.

1087381920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42814 (or 42806 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 1087381920 is about 32975.4745227419. The cubic root of 1087381920 is about 1028.3178373948.

The spelling of 1087381920 in words is "one billion, eighty-seven million, three hundred eighty-one thousand, nine hundred twenty".