95405840 has 80 divisors (see below), whose sum is σ = 243734400. Its totient is φ = 34569216.

The previous prime is 95405803. The next prime is 95405857. The reversal of 95405840 is 4850459.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×95405840² = 18204548612211200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 95405840.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33596 + ... + 36324.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^95405840 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 95405840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

95405840 is an abundant number, since it is smaller than the sum of its proper divisors (148328560).

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

95405840 is a wasteful number, since it uses less digits than its factorization.

95405840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 95405840 is about 9767.5913100416. The cubic root of 95405840 is about 456.9390978092.

The spelling of 95405840 in words is "ninety-five million, four hundred five thousand, eight hundred forty".