1135376920 has 128 divisors (see below), whose sum is σ = 2794176000. Its totient is φ = 413752320.

The previous prime is 1135376917. The next prime is 1135376923. The reversal of 1135376920 is 296735311.

It is an interprime number because it is at equal distance from previous prime (1135376917) and next prime (1135376923).

It is a self number, because there is not a number n which added to its sum of digits gives 1135376920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135376923) 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, 2586061 + ... + 2586499.

It is an arithmetic number, because the mean of its divisors is an integer number (21829500).

Almost surely, 2^1135376920 is an apocalyptic number.

1135376920 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 1135376920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397088000).

1135376920 is an abundant number, since it is smaller than the sum of its proper divisors (1658799080).

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

1135376920 is a wasteful number, since it uses less digits than its factorization.

1135376920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 1135376920 is about 33695.3545759649. The cubic root of 1135376920 is about 1043.2298871829.

The spelling of 1135376920 in words is "one billion, one hundred thirty-five million, three hundred seventy-six thousand, nine hundred twenty".