90284040 has 192 divisors, whose sum is σ = 365938560. Its totient is φ = 18754560.

The previous prime is 90284027. The next prime is 90284083. The reversal of 90284040 is 4048209.

It is a junction number, because it is equal to n+sod(n) for n = 90283995 and 90284013.

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, 26092 + ... + 29348.

It is an arithmetic number, because the mean of its divisors is an integer number (1905930).

Almost surely, 2^90284040 is an apocalyptic number.

90284040 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 90284040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182969280).

90284040 is an abundant number, since it is smaller than the sum of its proper divisors (275654520).

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

90284040 is a wasteful number, since it uses less digits than its factorization.

90284040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 90284040 is about 9501.7914100447. The cubic root of 90284040 is about 448.6114233440.

The spelling of 90284040 in words is "ninety million, two hundred eighty-four thousand, forty".