90210516 has 48 divisors (see below), whose sum is σ = 230881728. Its totient is φ = 27187200.

The previous prime is 90210511. The next prime is 90210529. The reversal of 90210516 is 61501209.

90210516 = T₄₃ + T₄₄ + ... + T₈₁₄.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90210511) 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, 23706 + ... + 27246.

It is an arithmetic number, because the mean of its divisors is an integer number (4810036).

Almost surely, 2^90210516 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 90210516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115440864).

90210516 is an abundant number, since it is smaller than the sum of its proper divisors (140671212).

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

90210516 is a wasteful number, since it uses less digits than its factorization.

90210516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 90210516 is about 9497.9216673965. The cubic root of 90210516 is about 448.4896127267.

The spelling of 90210516 in words is "ninety million, two hundred ten thousand, five hundred sixteen".