957134880 has 720 divisors, whose sum is σ = 4017625920. Its totient is φ = 213497856.

The previous prime is 957134851. The next prime is 957134881. The reversal of 957134880 is 88431759.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×957134880² = 1832214357025228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957134881) 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 119 ways as a sum of consecutive naturals, for example, 41614549 + ... + 41614571.

It is an arithmetic number, because the mean of its divisors is an integer number (5580036).

Almost surely, 2^957134880 is an apocalyptic number.

957134880 is a gapful number since it is divisible by the number (90) 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 957134880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008812960).

957134880 is an abundant number, since it is smaller than the sum of its proper divisors (3060491040).

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

957134880 is a wasteful number, since it uses less digits than its factorization.

957134880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 957134880 is about 30937.5965453039. The cubic root of 957134880 is about 985.5024638012.

The spelling of 957134880 in words is "nine hundred fifty-seven million, one hundred thirty-four thousand, eight hundred eighty".