90697824 has 108 divisors (see below), whose sum is σ = 300078324. Its totient is φ = 25909632.

The previous prime is 90697823. The next prime is 90697837. The reversal of 90697824 is 42879609.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 90697824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90697823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10899 + ... + 17325.

It is an arithmetic number, because the mean of its divisors is an integer number (2778503).

Almost surely, 2^90697824 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 90697824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150039162).

90697824 is an abundant number, since it is smaller than the sum of its proper divisors (209380500).

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

90697824 is a wasteful number, since it uses less digits than its factorization.

90697824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6457 (or 6439 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 90697824 is about 9523.5405181056. The cubic root of 90697824 is about 449.2957279845.

The spelling of 90697824 in words is "ninety million, six hundred ninety-seven thousand, eight hundred twenty-four".