90610200 has 144 divisors (see below), whose sum is σ = 309020400. Its totient is φ = 23788800.

The previous prime is 90610199. The next prime is 90610213. The reversal of 90610200 is 201609.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 127446 + ... + 128154.

It is an arithmetic number, because the mean of its divisors is an integer number (2145975).

Almost surely, 2^90610200 is an apocalyptic number.

90610200 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 90610200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154510200).

90610200 is an abundant number, since it is smaller than the sum of its proper divisors (218410200).

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

90610200 is a wasteful number, since it uses less digits than its factorization.

90610200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 90610200 is about 9518.9390165081. The cubic root of 90610200 is about 449.1509917890.

Adding to 90610200 its reverse (201609), we get a palindrome (90811809).

The spelling of 90610200 in words is "ninety million, six hundred ten thousand, two hundred".