7635940 has 48 divisors (see below), whose sum is σ = 17696448. Its totient is φ = 2749824.

The previous prime is 7635911. The next prime is 7635959. The reversal of 7635940 is 495367.

It is a junction number, because it is equal to n+sod(n) for n = 7635896 and 7635905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10839 + ... + 11521.

It is an arithmetic number, because the mean of its divisors is an integer number (368676).

Almost surely, 2^7635940 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 7635940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8848224).

7635940 is an abundant number, since it is smaller than the sum of its proper divisors (10060508).

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

7635940 is a wasteful number, since it uses less digits than its factorization.

7635940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 7635940 is about 2763.3204663955. The cubic root of 7635940 is about 196.9189459301.

The spelling of 7635940 in words is "seven million, six hundred thirty-five thousand, nine hundred forty".