95460792 has 64 divisors (see below), whose sum is σ = 279417600. Its totient is φ = 26607360.

The previous prime is 95460727. The next prime is 95460793. The reversal of 95460792 is 29706459.

It is a super-3 number, since 3×95460792³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95460793) 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, 42 + ... + 13817.

It is an arithmetic number, because the mean of its divisors is an integer number (4365900).

Almost surely, 2^95460792 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 95460792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139708800).

95460792 is an abundant number, since it is smaller than the sum of its proper divisors (183956808).

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

95460792 is a wasteful number, since it uses less digits than its factorization.

95460792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13916 (or 13912 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 95460792 is about 9770.4038811095. The cubic root of 95460792 is about 457.0268104620.

The spelling of 95460792 in words is "ninety-five million, four hundred sixty thousand, seven hundred ninety-two".