90396810 has 160 divisors (see below), whose sum is σ = 282268800. Its totient is φ = 20331648.

The previous prime is 90396781. The next prime is 90396821. The reversal of 90396810 is 1869309.

It is a super-4 number, since 4×90396810⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 606616 + ... + 606764.

It is an arithmetic number, because the mean of its divisors is an integer number (1764180).

Almost surely, 2^90396810 is an apocalyptic number.

90396810 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90396810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141134400).

90396810 is an abundant number, since it is smaller than the sum of its proper divisors (191871990).

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

90396810 is a wasteful number, since it uses less digits than its factorization.

90396810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 90396810 is about 9507.7237023380. The cubic root of 90396810 is about 448.7981261897.

It can be divided in two parts, 90 and 396810, that added together give a square (396900 = 630²).

The spelling of 90396810 in words is "ninety million, three hundred ninety-six thousand, eight hundred ten".