95405760 has 168 divisors, whose sum is σ = 331811376. Its totient is φ = 25159680.

The previous prime is 95405759. The next prime is 95405797. The reversal of 95405760 is 6750459.

95405760 is a `hidden beast` number, since 9 + 540 + 57 + 60 = 666.

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 23 ways as a sum of consecutive naturals, for example, 452055 + ... + 452265.

Almost surely, 2^95405760 is an apocalyptic number.

95405760 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 95405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165905688).

95405760 is an abundant number, since it is smaller than the sum of its proper divisors (236405616).

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

95405760 is a wasteful number, since it uses less digits than its factorization.

95405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 95405760 is about 9767.5872148653. The cubic root of 95405760 is about 456.9389700912.

The spelling of 95405760 in words is "ninety-five million, four hundred five thousand, seven hundred sixty".