8629140 has 144 divisors (see below), whose sum is σ = 28038528. Its totient is φ = 1976832.

The previous prime is 8629139. The next prime is 8629141. The reversal of 8629140 is 419268.

It is an interprime number because it is at equal distance from previous prime (8629139) and next prime (8629141).

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 = 8629098 and 8629107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8629141) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 233202 + ... + 233238.

It is an arithmetic number, because the mean of its divisors is an integer number (194712).

Almost surely, 2^8629140 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 8629140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14019264).

8629140 is an abundant number, since it is smaller than the sum of its proper divisors (19409388).

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

8629140 is a wasteful number, since it uses less digits than its factorization.

8629140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 8629140 is about 2937.5397869646. The cubic root of 8629140 is about 205.1111037640. Note that the first 4 decimals are identical.

The spelling of 8629140 in words is "eight million, six hundred twenty-nine thousand, one hundred forty".