955972080 has 480 divisors, whose sum is σ = 3946176000. Its totient is φ = 202549248.

The previous prime is 955972063. The next prime is 955972081. The reversal of 955972080 is 80279559.

It is a happy number.

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 (955972081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6415846 + ... + 6415994.

It is an arithmetic number, because the mean of its divisors is an integer number (8221200).

Almost surely, 2^955972080 is an apocalyptic number.

955972080 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 955972080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973088000).

955972080 is an abundant number, since it is smaller than the sum of its proper divisors (2990203920).

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

955972080 is a wasteful number, since it uses less digits than its factorization.

955972080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 955972080 is about 30918.7981655174. The cubic root of 955972080 is about 985.1032143811.

The spelling of 955972080 in words is "nine hundred fifty-five million, nine hundred seventy-two thousand, eighty".