1155957264 has 640 divisors, whose sum is σ = 4571136000. Its totient is φ = 270604800.

The previous prime is 1155957251. The next prime is 1155957277. The reversal of 1155957264 is 4627595511.

It is a happy number.

1155957264 is a `hidden beast` number, since 1 + 15 + 5 + 9 + 572 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (1155957251) and next prime (1155957277).

Its product of digits (378000) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19592467 + ... + 19592525.

It is an arithmetic number, because the mean of its divisors is an integer number (7142400).

Almost surely, 2^1155957264 is an apocalyptic number.

1155957264 is a gapful number since it is divisible by the number (14) 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 1155957264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285568000).

1155957264 is an abundant number, since it is smaller than the sum of its proper divisors (3415178736).

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

1155957264 is a wasteful number, since it uses less digits than its factorization.

1155957264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 1155957264 is about 33999.3715236032. The cubic root of 1155957264 is about 1049.4955290951.

The spelling of 1155957264 in words is "one billion, one hundred fifty-five million, nine hundred fifty-seven thousand, two hundred sixty-four".