90276240 has 80 divisors (see below), whose sum is σ = 280785600. Its totient is φ = 23993856.

The previous prime is 90276233. The next prime is 90276257. The reversal of 90276240 is 4267209.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 90276198 and 90276207.

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, 121791 + ... + 122529.

It is an arithmetic number, because the mean of its divisors is an integer number (3509820).

Almost surely, 2^90276240 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 90276240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140392800).

90276240 is an abundant number, since it is smaller than the sum of its proper divisors (190509360).

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

90276240 is a wasteful number, since it uses less digits than its factorization.

90276240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 90276240 is about 9501.3809522616. The cubic root of 90276240 is about 448.5985038590.

The spelling of 90276240 in words is "ninety million, two hundred seventy-six thousand, two hundred forty".