90435150 has 96 divisors (see below), whose sum is σ = 268420320. Its totient is φ = 22256640.

The previous prime is 90435131. The next prime is 90435151. The reversal of 90435150 is 5153409.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90435151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14974 + ... + 20126.

It is an arithmetic number, because the mean of its divisors is an integer number (2796045).

Almost surely, 2^90435150 is an apocalyptic number.

90435150 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90435150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134210160).

90435150 is an abundant number, since it is smaller than the sum of its proper divisors (177985170).

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

90435150 is a wasteful number, since it uses less digits than its factorization.

90435150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5187 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 90435150 is about 9509.7397440729. The cubic root of 90435150 is about 448.8615668062.

Adding to 90435150 its reverse (5153409), we get a palindrome (95588559).

It can be divided in two parts, 904351 and 50, that added together give a square (904401 = 951²).

The spelling of 90435150 in words is "ninety million, four hundred thirty-five thousand, one hundred fifty".