90768496 has 80 divisors (see below), whose sum is σ = 223541248. Its totient is φ = 34732800.

The previous prime is 90768487. The next prime is 90768497. The reversal of 90768496 is 69486709.

90768496 = T₁₆₈ + T₁₆₉ + ... + T₈₁₈.

It is a super-2 number, since 2×90768496² = 16477839732204032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90768497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44131 + ... + 46141.

Almost surely, 2^90768496 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 90768496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111770624).

90768496 is an abundant number, since it is smaller than the sum of its proper divisors (132772752).

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

90768496 is a wasteful number, since it uses less digits than its factorization.

90768496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The square root of 90768496 is about 9527.2501804036. The cubic root of 90768496 is about 449.4123951863.

The spelling of 90768496 in words is "ninety million, seven hundred sixty-eight thousand, four hundred ninety-six".