90029840 has 40 divisors (see below), whose sum is σ = 210522240. Its totient is φ = 35805056.

The previous prime is 90029827. The next prime is 90029857. The reversal of 90029840 is 4892009.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 90029797 and 90029806.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11177 + ... + 17463.

It is an arithmetic number, because the mean of its divisors is an integer number (5263056).

Almost surely, 2^90029840 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 90029840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105261120).

90029840 is an abundant number, since it is smaller than the sum of its proper divisors (120492400).

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

90029840 is a wasteful number, since it uses less digits than its factorization.

90029840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6479 (or 6473 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 90029840 is about 9488.4055562565. The cubic root of 90029840 is about 448.1899970043.

The spelling of 90029840 in words is "ninety million, twenty-nine thousand, eight hundred forty".