90307338 has 64 divisors (see below), whose sum is σ = 210760704. Its totient is φ = 25520000.

The previous prime is 90307337. The next prime is 90307369. The reversal of 90307338 is 83370309.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 90307299 and 90307308.

It is not an unprimeable number, because it can be changed into a prime (90307331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61513 + ... + 62963.

It is an arithmetic number, because the mean of its divisors is an integer number (3293136).

Almost surely, 2^90307338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90307338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105380352).

90307338 is an abundant number, since it is smaller than the sum of its proper divisors (120453366).

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

90307338 is a wasteful number, since it uses less digits than its factorization.

90307338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531.

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 90307338 is about 9503.0173103073. The cubic root of 90307338 is about 448.6500084214.

The spelling of 90307338 in words is "ninety million, three hundred seven thousand, three hundred thirty-eight".