7634640 has 80 divisors (see below), whose sum is σ = 25498368. Its totient is φ = 1878528.

The previous prime is 7634629. The next prime is 7634647. The reversal of 7634640 is 464367.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 7634598 and 7634607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7634647) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1897 + ... + 4343.

Almost surely, 2^7634640 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 7634640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12749184).

7634640 is an abundant number, since it is smaller than the sum of its proper divisors (17863728).

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

7634640 is a wasteful number, since it uses less digits than its factorization.

7634640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 7634640 is about 2763.0852321273. The cubic root of 7634640 is about 196.9077703072.

It can be divided in two parts, 76 and 34640, that added together give a triangular number (34716 = T₂₆₃).

The spelling of 7634640 in words is "seven million, six hundred thirty-four thousand, six hundred forty".