1129640616 has 288 divisors, whose sum is σ = 3617602560. Its totient is φ = 317011968.

The previous prime is 1129640587. The next prime is 1129640627. The reversal of 1129640616 is 6160469211.

1129640616 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 640 + 6 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8894745 + ... + 8894871.

It is an arithmetic number, because the mean of its divisors is an integer number (12561120).

Almost surely, 2^1129640616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1129640616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808801280).

1129640616 is an abundant number, since it is smaller than the sum of its proper divisors (2487961944).

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

1129640616 is a wasteful number, since it uses less digits than its factorization.

1129640616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1129640616 is about 33610.1266882468. The cubic root of 1129640616 is about 1041.4700045530.

It can be divided in two parts, 1129640 and 616, that added together give a triangular number (1130256 = T₁₅₀₃).

The spelling of 1129640616 in words is "one billion, one hundred twenty-nine million, six hundred forty thousand, six hundred sixteen".