1157706720 has 72 divisors (see below), whose sum is σ = 3950679096. Its totient is φ = 308721408.

The previous prime is 1157706703. The next prime is 1157706721. The reversal of 1157706720 is 276077511.

1157706720 is a `hidden beast` number, since 1 + 1 + 577 + 0 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157706721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400542 + ... + 403421.

It is an arithmetic number, because the mean of its divisors is an integer number (54870543).

Almost surely, 2^1157706720 is an apocalyptic number.

1157706720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157706720 is an abundant number, since it is smaller than the sum of its proper divisors (2792972376).

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

1157706720 is a wasteful number, since it uses less digits than its factorization.

1157706720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803984 (or 803973 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The square root of 1157706720 is about 34025.0895663773. The cubic root of 1157706720 is about 1050.0247069016.

The spelling of 1157706720 in words is "one billion, one hundred fifty-seven million, seven hundred six thousand, seven hundred twenty".