955748160 has 392 divisors, whose sum is σ = 3627964296. Its totient is φ = 238878720.

The previous prime is 955748137. The next prime is 955748161. The reversal of 955748160 is 61847559.

It can be written as a sum of positive squares in 4 ways, for example, as 306110016 + 649638144 = 17496^2 + 25488^2 .

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 (955748161) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3965640 + ... + 3965880.

Almost surely, 2^955748160 is an apocalyptic number.

955748160 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 955748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813982148).

955748160 is an abundant number, since it is smaller than the sum of its proper divisors (2672216136).

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

955748160 is a wasteful number, since it uses less digits than its factorization.

955748160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 955748160 is about 30915.1768553893. The cubic root of 955748160 is about 985.0262938861.

The spelling of 955748160 in words is "nine hundred fifty-five million, seven hundred forty-eight thousand, one hundred sixty".