90540801 has 64 divisors (see below), whose sum is σ = 152893440. Its totient is φ = 52565760.

The previous prime is 90540797. The next prime is 90540823. The reversal of 90540801 is 10804509.

It is not a de Polignac number, because 90540801 - 2² = 90540797 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (90547801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 576615 + ... + 576771.

It is an arithmetic number, because the mean of its divisors is an integer number (2388960).

Almost surely, 2^90540801 is an apocalyptic number.

It is an amenable number.

90540801 is a deficient number, since it is larger than the sum of its proper divisors (62352639).

90540801 is a wasteful number, since it uses less digits than its factorization.

90540801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 90540801 is about 9515.2930065238. The cubic root of 90540801 is about 449.0362931826.

It can be divided in two parts, 9054080 and 1, that added together give a square (9054081 = 3009²).

The spelling of 90540801 in words is "ninety million, five hundred forty thousand, eight hundred one".