90340516 has 72 divisors (see below), whose sum is σ = 205117920. Its totient is φ = 34497792.

The previous prime is 90340513. The next prime is 90340519. The reversal of 90340516 is 61504309.

It is an interprime number because it is at equal distance from previous prime (90340513) and next prime (90340519).

It is a super-2 number, since 2×90340516² = 16322817662292512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90340513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62595 + ... + 64021.

It is an arithmetic number, because the mean of its divisors is an integer number (2848860).

Almost surely, 2^90340516 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 90340516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102558960).

90340516 is an abundant number, since it is smaller than the sum of its proper divisors (114777404).

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

90340516 is a wasteful number, since it uses less digits than its factorization.

90340516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 90340516 is about 9504.7628060883. The cubic root of 90340516 is about 448.7049448484.

The spelling of 90340516 in words is "ninety million, three hundred forty thousand, five hundred sixteen".