359760090 has 32 divisors (see below), whose sum is σ = 881798400. Its totient is φ = 93894464.

The previous prime is 359760083. The next prime is 359760091. The reversal of 359760090 is 90067953.

359760090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (359760091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126165 + ... + 128984.

It is an arithmetic number, because the mean of its divisors is an integer number (27556200).

Almost surely, 2^359760090 is an apocalyptic number.

359760090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

359760090 is an abundant number, since it is smaller than the sum of its proper divisors (522038310).

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

359760090 is a wasteful number, since it uses less digits than its factorization.

359760090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255206.

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 359760090 is about 18967.3427237449. The cubic root of 359760090 is about 711.2206009162.

The spelling of 359760090 in words is "three hundred fifty-nine million, seven hundred sixty thousand, ninety".