90801810 has 192 divisors, whose sum is σ = 276756480. Its totient is φ = 21228480.

The previous prime is 90801803. The next prime is 90801857. The reversal of 90801810 is 1810809.

It is a super-2 number, since 2×90801810² = 16489937398552200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1149351 + ... + 1149429.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 2^90801810 is an apocalyptic number.

90801810 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 90801810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138378240).

90801810 is an abundant number, since it is smaller than the sum of its proper divisors (185954670).

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

90801810 is a wasteful number, since it uses less digits than its factorization.

90801810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 90801810 is about 9528.9983733864. The cubic root of 90801810 is about 449.4673698156.

The spelling of 90801810 in words is "ninety million, eight hundred one thousand, eight hundred ten".