90834120 has 144 divisors (see below), whose sum is σ = 319880340. Its totient is φ = 22344192.

The previous prime is 90834113. The next prime is 90834143. The reversal of 90834120 is 2143809.

It can be written as a sum of positive squares in 6 ways, for example, as 23561316 + 67272804 = 4854^2 + 8202^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60094 + ... + 61586.

Almost surely, 2^90834120 is an apocalyptic number.

90834120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90834120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159940170).

90834120 is an abundant number, since it is smaller than the sum of its proper divisors (229046220).

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

90834120 is a wasteful number, since it uses less digits than its factorization.

90834120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 90834120 is about 9530.6935739221. The cubic root of 90834120 is about 449.5206748050.

Adding to 90834120 its reverse (2143809), we get a palindrome (92977929).

It can be divided in two parts, 9083 and 4120, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 90834120 in words is "ninety million, eight hundred thirty-four thousand, one hundred twenty".