90519000 has 256 divisors, whose sum is σ = 333365760. Its totient is φ = 20160000.

The previous prime is 90518969. The next prime is 90519001. The reversal of 90519000 is 91509.

It is a happy number.

It is a super-2 number, since 2×90519000² = 16387378722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90519001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 428895 + ... + 429105.

It is an arithmetic number, because the mean of its divisors is an integer number (1302210).

Almost surely, 2^90519000 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 90519000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166682880).

90519000 is an abundant number, since it is smaller than the sum of its proper divisors (242846760).

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

90519000 is a wasteful number, since it uses less digits than its factorization.

90519000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 24.

The square root of 90519000 is about 9514.1473606414. The cubic root of 90519000 is about 449.0002496679. Note that the first 3 decimals are identical.

The spelling of 90519000 in words is "ninety million, five hundred nineteen thousand".