90260352 has 384 divisors, whose sum is σ = 341863200. Its totient is φ = 23224320.

The previous prime is 90260341. The next prime is 90260363. The reversal of 90260352 is 25306209.

90260352 is a `hidden beast` number, since 9 + 0 + 2 + 603 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (90260341) and next prime (90260363).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×90260352² = 16293862286327808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2201452 + ... + 2201492.

Almost surely, 2^90260352 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 90260352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170931600).

90260352 is an abundant number, since it is smaller than the sum of its proper divisors (251602848).

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

90260352 is a wasteful number, since it uses less digits than its factorization.

90260352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 90260352 is about 9500.5448264823. The cubic root of 90260352 is about 448.5721855602.

The spelling of 90260352 in words is "ninety million, two hundred sixty thousand, three hundred fifty-two".