1138436960 has 96 divisors (see below), whose sum is σ = 2856645792. Its totient is φ = 427253760.

The previous prime is 1138436951. The next prime is 1138436969. The reversal of 1138436960 is 696348311.

It is an interprime number because it is at equal distance from previous prime (1138436951) and next prime (1138436969).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138436969) 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, 1552754 + ... + 1553486.

It is an arithmetic number, because the mean of its divisors is an integer number (29756727).

Almost surely, 2^1138436960 is an apocalyptic number.

1138436960 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 1138436960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428322896).

1138436960 is an abundant number, since it is smaller than the sum of its proper divisors (1718208832).

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

1138436960 is a wasteful number, since it uses less digits than its factorization.

1138436960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 1138436960 is about 33740.7314680639. The cubic root of 1138436960 is about 1044.1662756355.

The spelling of 1138436960 in words is "one billion, one hundred thirty-eight million, four hundred thirty-six thousand, nine hundred sixty".