90609696 has 72 divisors (see below), whose sum is σ = 268894080. Its totient is φ = 28887936.

The previous prime is 90609653. The next prime is 90609697. The reversal of 90609696 is 69690609.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90609697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216 + ... + 13463.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2^90609696 is an apocalyptic number.

90609696 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 90609696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134447040).

90609696 is an abundant number, since it is smaller than the sum of its proper divisors (178284384).

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

90609696 is a wasteful number, since it uses less digits than its factorization.

90609696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13718 (or 13707 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 90609696 is about 9518.9125429326. The cubic root of 90609696 is about 449.1501590184.

The spelling of 90609696 in words is "ninety million, six hundred nine thousand, six hundred ninety-six".