7629648 has 40 divisors (see below), whose sum is σ = 21227808. Its totient is φ = 2347392.

The previous prime is 7629637. The next prime is 7629683. The reversal of 7629648 is 8469267.

It is a d-powerful number, because it can be written as 7⁵ + 6⁸ + 2²¹ + 9⁵ + 6⁸ + 4⁴ + 8⁷ .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5490 + ... + 6737.

Almost surely, 2^7629648 is an apocalyptic number.

7629648 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

7629648 is an abundant number, since it is smaller than the sum of its proper divisors (13598160).

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

7629648 is a wasteful number, since it uses less digits than its factorization.

7629648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12251 (or 12245 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 7629648 is about 2762.1817463737. The cubic root of 7629648 is about 196.8648441221.

The spelling of 7629648 in words is "seven million, six hundred twenty-nine thousand, six hundred forty-eight".