90351840 has 96 divisors (see below), whose sum is σ = 299617920. Its totient is φ = 22823424.

The previous prime is 90351839. The next prime is 90351841. The reversal of 90351840 is 4815309.

It is an interprime number because it is at equal distance from previous prime (90351839) and next prime (90351841).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 90351798 and 90351807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90351841) 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 15 ways as a sum of consecutive naturals, for example, 4167 + ... + 14073.

It is an arithmetic number, because the mean of its divisors is an integer number (3121020).

Almost surely, 2^90351840 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 90351840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149808960).

90351840 is an abundant number, since it is smaller than the sum of its proper divisors (209266080).

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

90351840 is a wasteful number, since it uses less digits than its factorization.

90351840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9944 (or 9936 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 90351840 is about 9505.3584887683. The cubic root of 90351840 is about 448.7236921493.

The spelling of 90351840 in words is "ninety million, three hundred fifty-one thousand, eight hundred forty".