1156268736 has 224 divisors, whose sum is σ = 4114068480. Its totient is φ = 310874112.

The previous prime is 1156268677. The next prime is 1156268747. The reversal of 1156268736 is 6378626511.

1156268736 is a `hidden beast` number, since 1 + 1 + 562 + 6 + 87 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 1156268691 and 1156268700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202821 + ... + 208443.

Almost surely, 2^1156268736 is an apocalyptic number.

1156268736 is a gapful number since it is divisible by the number (16) 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 1156268736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057034240).

1156268736 is an abundant number, since it is smaller than the sum of its proper divisors (2957799744).

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

1156268736 is a wasteful number, since it uses less digits than its factorization.

1156268736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5668 (or 5652 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 1156268736 is about 34003.9517703458. The cubic root of 1156268736 is about 1049.5897826130.

The spelling of 1156268736 in words is "one billion, one hundred fifty-six million, two hundred sixty-eight thousand, seven hundred thirty-six".