95855040 has 168 divisors, whose sum is σ = 334505808. Its totient is φ = 25190400.

The previous prime is 95855021. The next prime is 95855051. The reversal of 95855040 is 4055859.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 95854986 and 95855004.

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, 238840 + ... + 239240.

It is an arithmetic number, because the mean of its divisors is an integer number (1991106).

Almost surely, 2^95855040 is an apocalyptic number.

95855040 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 95855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167252904).

95855040 is an abundant number, since it is smaller than the sum of its proper divisors (238650768).

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

95855040 is a wasteful number, since it uses less digits than its factorization.

95855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 95855040 is about 9790.5587174584. The cubic root of 95855040 is about 457.6551117870.

The spelling of 95855040 in words is "ninety-five million, eight hundred fifty-five thousand, forty".