95465984 has 40 divisors (see below), whose sum is σ = 192278988. Its totient is φ = 47349760.

The previous prime is 95465971. The next prime is 95465987. The reversal of 95465984 is 48956459.

It can be written as a sum of positive squares in 2 ways, for example, as 93702400 + 1763584 = 9680^2 + 1328^2 .

It is a super-2 number, since 2×95465984² = 18227508202176512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95465987) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69464 + ... + 70824.

Almost surely, 2^95465984 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 95465984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96139494).

95465984 is an abundant number, since it is smaller than the sum of its proper divisors (96813004).

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

95465984 is a wasteful number, since it uses less digits than its factorization.

95465984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1500 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 50.

The square root of 95465984 is about 9770.6695778744. The cubic root of 95465984 is about 457.0350960283.

The spelling of 95465984 in words is "ninety-five million, four hundred sixty-five thousand, nine hundred eighty-four".