95830920 has 144 divisors (see below), whose sum is σ = 322983180. Its totient is φ = 24641280.

The previous prime is 95830919. The next prime is 95830937. The reversal of 95830920 is 2903859.

It can be written as a sum of positive squares in 2 ways, for example, as 89984196 + 5846724 = 9486^2 + 2418^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 345822 + ... + 346098.

Almost surely, 2^95830920 is an apocalyptic number.

95830920 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 95830920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161491590).

95830920 is an abundant number, since it is smaller than the sum of its proper divisors (227152260).

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

95830920 is a wasteful number, since it uses less digits than its factorization.

95830920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 95830920 is about 9789.3268410039. The cubic root of 95830920 is about 457.6167219874.

It can be divided in two parts, 958 and 30920, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 95830920 in words is "ninety-five million, eight hundred thirty thousand, nine hundred twenty".