1155761600 has 168 divisors, whose sum is σ = 3339205920. Its totient is φ = 385413120.

The previous prime is 1155761599. The next prime is 1155761603. The reversal of 1155761600 is 61675511.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155761603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413006 + ... + 415794.

Almost surely, 2^1155761600 is an apocalyptic number.

1155761600 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 1155761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669602960).

1155761600 is an abundant number, since it is smaller than the sum of its proper divisors (2183444320).

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

1155761600 is a wasteful number, since it uses less digits than its factorization.

1155761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 32.

The square root of 1155761600 is about 33996.4939368753. The cubic root of 1155761600 is about 1049.4363111964.

The spelling of 1155761600 in words is "one billion, one hundred fifty-five million, seven hundred sixty-one thousand, six hundred".