95783904 has 96 divisors (see below), whose sum is σ = 284256000. Its totient is φ = 31370112.

The previous prime is 95783903. The next prime is 95783917. The reversal of 95783904 is 40938759.

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

It is a self number, because there is not a number n which added to its sum of digits gives 95783904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95783903) 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, 50037 + ... + 51915.

It is an arithmetic number, because the mean of its divisors is an integer number (2961000).

Almost surely, 2^95783904 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 95783904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142128000).

95783904 is an abundant number, since it is smaller than the sum of its proper divisors (188472096).

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

95783904 is a wasteful number, since it uses less digits than its factorization.

95783904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 95783904 is about 9786.9251555328. The cubic root of 95783904 is about 457.5418720074.

It can be divided in two parts, 957 and 83904, that multiplied together give a triangular number (80296128 = T₁₂₆₇₂).

The spelling of 95783904 in words is "ninety-five million, seven hundred eighty-three thousand, nine hundred four".