90607968 has 144 divisors (see below), whose sum is σ = 289061136. Its totient is φ = 26680320.

The previous prime is 90607939. The next prime is 90607969. The reversal of 90607968 is 86970609.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90607969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116830 + ... + 117602.

It is an arithmetic number, because the mean of its divisors is an integer number (2007369).

Almost surely, 2^90607968 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 90607968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144530568).

90607968 is an abundant number, since it is smaller than the sum of its proper divisors (198453168).

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

90607968 is a wasteful number, since it uses less digits than its factorization.

90607968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 90607968 is about 9518.8217758292. The cubic root of 90607968 is about 449.1473037817.

The spelling of 90607968 in words is "ninety million, six hundred seven thousand, nine hundred sixty-eight".