6629040 has 240 divisors, whose sum is σ = 25998336. Its totient is φ = 1555200.

The previous prime is 6629039. The next prime is 6629041. The reversal of 6629040 is 409266.

It is an interprime number because it is at equal distance from previous prime (6629039) and next prime (6629041).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 6628995 and 6629013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6629041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213825 + ... + 213855.

Almost surely, 2^6629040 is an apocalyptic number.

6629040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6629040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12999168).

6629040 is an abundant number, since it is smaller than the sum of its proper divisors (19369296).

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

6629040 is a wasteful number, since it uses less digits than its factorization.

6629040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6629040 is about 2574.6922146152. The cubic root of 6629040 is about 187.8524570464.

The spelling of 6629040 in words is "six million, six hundred twenty-nine thousand, forty".