90219696 has 160 divisors (see below), whose sum is σ = 282839040. Its totient is φ = 24235008.

The previous prime is 90219617. The next prime is 90219737. The reversal of 90219696 is 69691209.

90219696 = T₁₅₉ + T₁₆₀ + ... + T₈₁₆.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457870 + ... + 458066.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 2^90219696 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 90219696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

90219696 is an abundant number, since it is smaller than the sum of its proper divisors (192619344).

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

90219696 is a wasteful number, since it uses less digits than its factorization.

90219696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 90219696 is about 9498.4049187219. The cubic root of 90219696 is about 448.5048252732.

The spelling of 90219696 in words is "ninety million, two hundred nineteen thousand, six hundred ninety-six".