95973768 has 128 divisors (see below), whose sum is σ = 300441600. Its totient is φ = 28123200.

The previous prime is 95973767. The next prime is 95973793. The reversal of 95973768 is 86737959.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (95973763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73005 + ... + 74307.

It is an arithmetic number, because the mean of its divisors is an integer number (2347200).

Almost surely, 2^95973768 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 95973768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150220800).

95973768 is an abundant number, since it is smaller than the sum of its proper divisors (204467832).

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

95973768 is a wasteful number, since it uses less digits than its factorization.

95973768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1350 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 95973768 is about 9796.6202335295. The cubic root of 95973768 is about 457.8439874665.

It can be divided in two parts, 959737 and 68, that added together give a triangular number (959805 = T₁₃₈₅).

The spelling of 95973768 in words is "ninety-five million, nine hundred seventy-three thousand, seven hundred sixty-eight".