7632090 has 64 divisors (see below), whose sum is σ = 21254400. Its totient is φ = 1945152.

The previous prime is 7632089. The next prime is 7632143. The reversal of 7632090 is 902367.

It is a super-3 number, since 3×7632090³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5596 + ... + 6824.

It is an arithmetic number, because the mean of its divisors is an integer number (332100).

Almost surely, 2^7632090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7632090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10627200).

7632090 is an abundant number, since it is smaller than the sum of its proper divisors (13622310).

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

7632090 is a wasteful number, since it uses less digits than its factorization.

7632090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 7632090 is about 2762.6237528842. The cubic root of 7632090 is about 196.8858452076.

The spelling of 7632090 in words is "seven million, six hundred thirty-two thousand, ninety".