1136766960 has 400 divisors, whose sum is σ = 4753267200. Its totient is φ = 245970432.

The previous prime is 1136766937. The next prime is 1136766997. The reversal of 1136766960 is 696676311.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 861181 + ... + 862499.

It is an arithmetic number, because the mean of its divisors is an integer number (11883168).

Almost surely, 2^1136766960 is an apocalyptic number.

1136766960 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 1136766960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376633600).

1136766960 is an abundant number, since it is smaller than the sum of its proper divisors (3616500240).

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

1136766960 is a wasteful number, since it uses less digits than its factorization.

1136766960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1136766960 is about 33715.9748487271. The cubic root of 1136766960 is about 1043.6554550718.

The spelling of 1136766960 in words is "one billion, one hundred thirty-six million, seven hundred sixty-six thousand, nine hundred sixty".