90820601001 has 32 divisors (see below), whose sum is σ = 144968154240. Its totient is φ = 55862913600.

The previous prime is 90820600991. The next prime is 90820601033. The reversal of 90820601001 is 10010602809.

It is not a de Polignac number, because 90820601001 - 2⁷ = 90820600873 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 (90820601071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687271 + ... + 808691.

It is an arithmetic number, because the mean of its divisors is an integer number (4530254820).

Almost surely, 2^90820601001 is an apocalyptic number.

It is an amenable number.

90820601001 is a deficient number, since it is larger than the sum of its proper divisors (54147553239).

90820601001 is a wasteful number, since it uses less digits than its factorization.

90820601001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123574 (or 123568 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 90820601001 in words is "ninety billion, eight hundred twenty million, six hundred one thousand, one".