90433536 has 96 divisors (see below), whose sum is σ = 247665600. Its totient is φ = 29327360.

The previous prime is 90433531. The next prime is 90433547. The reversal of 90433536 is 63533409.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 90433497 and 90433506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90433531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251725 + ... + 252083.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2^90433536 is an apocalyptic number.

90433536 is a gapful number since it is divisible by the number (96) 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 90433536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800).

90433536 is an abundant number, since it is smaller than the sum of its proper divisors (157232064).

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

90433536 is a wasteful number, since it uses less digits than its factorization.

90433536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The square root of 90433536 is about 9509.6548833278. The cubic root of 90433536 is about 448.8588965064.

The spelling of 90433536 in words is "ninety million, four hundred thirty-three thousand, five hundred thirty-six".