95042880 has 168 divisors, whose sum is σ = 332881224. Its totient is φ = 24883200.

The previous prime is 95042867. The next prime is 95042881. The reversal of 95042880 is 8824059.

It can be written as a sum of positive squares in 4 ways, for example, as 97344 + 94945536 = 312^2 + 9744^2 .

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 (95042881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175410 + ... + 175950.

Almost surely, 2^95042880 is an apocalyptic number.

95042880 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 95042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166440612).

95042880 is an abundant number, since it is smaller than the sum of its proper divisors (237838344).

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

95042880 is a wasteful number, since it uses less digits than its factorization.

95042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 612 counting only the distinct ones).

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

The square root of 95042880 is about 9748.9937942333. The cubic root of 95042880 is about 456.3589048842.

The spelling of 95042880 in words is "ninety-five million, forty-two thousand, eight hundred eighty".