90368001 has 8 divisors (see below), whose sum is σ = 133878560. Its totient is φ = 60245316.

The previous prime is 90367997. The next prime is 90368041. The reversal of 90368001 is 10086309.

It is not a de Polignac number, because 90368001 - 2² = 90367997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3346963 = 90368001 / (9 + 0 + 3 + 6 + 8 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90368041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1673455 + ... + 1673508.

It is an arithmetic number, because the mean of its divisors is an integer number (16734820).

Almost surely, 2^90368001 is an apocalyptic number.

It is an amenable number.

90368001 is a deficient number, since it is larger than the sum of its proper divisors (43510559).

90368001 is a wasteful number, since it uses less digits than its factorization.

90368001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346972 (or 3346966 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 90368001 is about 9506.2085502055. The cubic root of 90368001 is about 448.7504445699.

The spelling of 90368001 in words is "ninety million, three hundred sixty-eight thousand, one".