95408820 has 96 divisors (see below), whose sum is σ = 319683840. Its totient is φ = 23483520.

The previous prime is 95408813. The next prime is 95408821. The reversal of 95408820 is 2880459.

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 (95408821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225 + ... + 13815.

It is an arithmetic number, because the mean of its divisors is an integer number (3330040).

Almost surely, 2^95408820 is an apocalyptic number.

95408820 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 95408820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159841920).

95408820 is an abundant number, since it is smaller than the sum of its proper divisors (224275020).

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

95408820 is a wasteful number, since it uses less digits than its factorization.

95408820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13622 (or 13614 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 95408820 is about 9767.7438541354. The cubic root of 95408820 is about 456.9438552550.

The spelling of 95408820 in words is "ninety-five million, four hundred eight thousand, eight hundred twenty".