90095040 has 336 divisors, whose sum is σ = 366125760. Its totient is φ = 19906560.

The previous prime is 90095029. The next prime is 90095051. The reversal of 90095040 is 4059009.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90095029) and next prime (90095051).

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 90094995 and 90095013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 826506 + ... + 826614.

It is an arithmetic number, because the mean of its divisors is an integer number (1089660).

Almost surely, 2^90095040 is an apocalyptic number.

90095040 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 90095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183062880).

90095040 is an abundant number, since it is smaller than the sum of its proper divisors (276030720).

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

90095040 is a wasteful number, since it uses less digits than its factorization.

90095040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 90095040 is about 9491.8407066280. The cubic root of 90095040 is about 448.2981646090.

The spelling of 90095040 in words is "ninety million, ninety-five thousand, forty".