8429616 has 160 divisors (see below), whose sum is σ = 27776000. Its totient is φ = 2426112.

The previous prime is 8429609. The next prime is 8429621. The reversal of 8429616 is 6169248.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (20736) is a multiple of the sum of its prime factors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106665 + ... + 106743.

It is an arithmetic number, because the mean of its divisors is an integer number (173600).

Almost surely, 2^8429616 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 8429616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13888000).

8429616 is an abundant number, since it is smaller than the sum of its proper divisors (19346384).

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

8429616 is a wasteful number, since it uses less digits than its factorization.

8429616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 8429616 is about 2903.3800991258. The cubic root of 8429616 is about 203.5178926891.

It can be divided in two parts, 8429 and 616, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 8429616 in words is "eight million, four hundred twenty-nine thousand, six hundred sixteen".