95397840 has 120 divisors (see below), whose sum is σ = 329128488. Its totient is φ = 24744960.

The previous prime is 95397823. The next prime is 95397853. The reversal of 95397840 is 4879359.

95397840 is a `hidden beast` number, since 9 + 539 + 78 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46621584 + 48776256 = 6828^2 + 6984^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24850 + ... + 28430.

Almost surely, 2^95397840 is an apocalyptic number.

95397840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95397840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164564244).

95397840 is an abundant number, since it is smaller than the sum of its proper divisors (233730648).

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

95397840 is a wasteful number, since it uses less digits than its factorization.

95397840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637 (or 3628 counting only the distinct ones).

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

The square root of 95397840 is about 9767.1817839129. The cubic root of 95397840 is about 456.9263256527.

The spelling of 95397840 in words is "ninety-five million, three hundred ninety-seven thousand, eight hundred forty".