90641628 has 144 divisors (see below), whose sum is σ = 300867840. Its totient is φ = 22291200.

The previous prime is 90641623. The next prime is 90641657. The reversal of 90641628 is 82614609.

90641628 is a `hidden beast` number, since 9 + 0 + 641 + 6 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 90641592 and 90641601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90641623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51808 + ... + 53528.

It is an arithmetic number, because the mean of its divisors is an integer number (2089360).

Almost surely, 2^90641628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90641628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150433920).

90641628 is an abundant number, since it is smaller than the sum of its proper divisors (210226212).

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

90641628 is a wasteful number, since it uses less digits than its factorization.

90641628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 90641628 is about 9520.5896876191. The cubic root of 90641628 is about 449.2029148825.

The spelling of 90641628 in words is "ninety million, six hundred forty-one thousand, six hundred twenty-eight".