741600090 has 128 divisors (see below), whose sum is σ = 2465648640. Its totient is φ = 154094400.

The previous prime is 741600071. The next prime is 741600091. The reversal of 741600090 is 90006147.

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 (741600091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2955 + ... + 38625.

It is an arithmetic number, because the mean of its divisors is an integer number (19262880).

Almost surely, 2^741600090 is an apocalyptic number.

741600090 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 741600090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232824320).

741600090 is an abundant number, since it is smaller than the sum of its proper divisors (1724048550).

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

741600090 is a wasteful number, since it uses less digits than its factorization.

741600090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35705 (or 35699 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 741600090 is about 27232.3353754319. The cubic root of 741600090 is about 905.1556318938.

The spelling of 741600090 in words is "seven hundred forty-one million, six hundred thousand, ninety".