95967040 has 224 divisors, whose sum is σ = 276514560. Its totient is φ = 31358976.

The previous prime is 95967037. The next prime is 95967059. The reversal of 95967040 is 4076959.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 95966984 and 95967002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1626531 + ... + 1626589.

It is an arithmetic number, because the mean of its divisors is an integer number (1234440).

Almost surely, 2^95967040 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 95967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138257280).

95967040 is an abundant number, since it is smaller than the sum of its proper divisors (180547520).

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

95967040 is a wasteful number, since it uses less digits than its factorization.

95967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 95967040 is about 9796.2768437810. The cubic root of 95967040 is about 457.8332885488.

The spelling of 95967040 in words is "ninety-five million, nine hundred sixty-seven thousand, forty".