95040000 has 400 divisors, whose sum is σ = 383502240. Its totient is φ = 23040000.

The previous prime is 95039993. The next prime is 95040007. The reversal of 95040000 is 4059.

It is an interprime number because it is at equal distance from previous prime (95039993) and next prime (95040007).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (95040007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8639995 + ... + 8640005.

Almost surely, 2^95040000 is an apocalyptic number.

95040000 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 95040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191751120).

95040000 is an abundant number, since it is smaller than the sum of its proper divisors (288462240).

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

95040000 is an equidigital number, since it uses as much as digits as its factorization.

95040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 95040000 is about 9748.8460855632. The cubic root of 95040000 is about 456.3542952914.

Adding to 95040000 its reverse (4059), we get a palindrome (95044059).

The spelling of 95040000 in words is "ninety-five million, forty thousand".