95842080 has 288 divisors, whose sum is σ = 358525440. Its totient is φ = 23224320.

The previous prime is 95842079. The next prime is 95842121. The reversal of 95842080 is 8024859.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 848104 + ... + 848216.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 2^95842080 is an apocalyptic number.

95842080 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 95842080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

95842080 is an abundant number, since it is smaller than the sum of its proper divisors (262683360).

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

95842080 is a wasteful number, since it uses less digits than its factorization.

95842080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

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

The square root of 95842080 is about 9789.8968329600. The cubic root of 95842080 is about 457.6344852326.

It can be divided in two parts, 9584 and 2080, that added together give a square (11664 = 108²).

The spelling of 95842080 in words is "ninety-five million, eight hundred forty-two thousand, eighty".