95089680 has 320 divisors, whose sum is σ = 395212800. Its totient is φ = 20528640.

The previous prime is 95089663. The next prime is 95089681. The reversal of 95089680 is 8698059.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (95089681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287115 + ... + 287445.

It is an arithmetic number, because the mean of its divisors is an integer number (1235040).

Almost surely, 2^95089680 is an apocalyptic number.

95089680 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 95089680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197606400).

95089680 is an abundant number, since it is smaller than the sum of its proper divisors (300123120).

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

95089680 is a wasteful number, since it uses less digits than its factorization.

95089680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 95089680 is about 9751.3937465370. The cubic root of 95089680 is about 456.4337977190.

The spelling of 95089680 in words is "ninety-five million, eighty-nine thousand, six hundred eighty".