1138901680 has 80 divisors (see below), whose sum is σ = 3030591744. Its totient is φ = 389917440.

The previous prime is 1138901671. The next prime is 1138901693. The reversal of 1138901680 is 861098311.

It is a tau number, because it is divible by the number of its divisors (80).

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, 627975 + ... + 629785.

Almost surely, 2^1138901680 is an apocalyptic number.

1138901680 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 1138901680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515295872).

1138901680 is an abundant number, since it is smaller than the sum of its proper divisors (1891690064).

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

1138901680 is a wasteful number, since it uses less digits than its factorization.

1138901680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 1138901680 is about 33747.6173973808. The cubic root of 1138901680 is about 1044.3083355992.

Adding to 1138901680 its reverse (861098311), we get a palindrome (1999999991).

The spelling of 1138901680 in words is "one billion, one hundred thirty-eight million, nine hundred one thousand, six hundred eighty".