95011680 has 96 divisors (see below), whose sum is σ = 301771008. Its totient is φ = 25126400.

The previous prime is 95011667. The next prime is 95011681. The reversal of 95011680 is 8611059.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95011681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62125 + ... + 63635.

It is an arithmetic number, because the mean of its divisors is an integer number (3143448).

Almost surely, 2^95011680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95011680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150885504).

95011680 is an abundant number, since it is smaller than the sum of its proper divisors (206759328).

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

95011680 is a wasteful number, since it uses less digits than its factorization.

95011680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 95011680 is about 9747.3934977511. The cubic root of 95011680 is about 456.3089626681.

The spelling of 95011680 in words is "ninety-five million, eleven thousand, six hundred eighty".