90820629 has 16 divisors (see below), whose sum is σ = 140400000. Its totient is φ = 57914208.

The previous prime is 90820571. The next prime is 90820661. The reversal of 90820629 is 92602809.

90820629 is a `hidden beast` number, since 9 + 0 + 8 + 20 + 629 = 666.

It is not a de Polignac number, because 90820629 - 2¹⁵ = 90787861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90820593 and 90820602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90820679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72504 + ... + 73745.

It is an arithmetic number, because the mean of its divisors is an integer number (8775000).

Almost surely, 2^90820629 is an apocalyptic number.

It is an amenable number.

90820629 is a deficient number, since it is larger than the sum of its proper divisors (49579371).

90820629 is a wasteful number, since it uses less digits than its factorization.

90820629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146281 (or 146275 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 90820629 is about 9529.9857817313. The cubic root of 90820629 is about 449.4984189109.

The spelling of 90820629 in words is "ninety million, eight hundred twenty thousand, six hundred twenty-nine".