8961408 has 64 divisors (see below), whose sum is σ = 26458800. Its totient is φ = 2985984.

The previous prime is 8961401. The next prime is 8961409. The reversal of 8961408 is 8041698.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

8961408 is a modest number, since divided by 1408 gives 896 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8961401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2160 + ... + 4752.

Almost surely, 2^8961408 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 8961408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13229400).

8961408 is an abundant number, since it is smaller than the sum of its proper divisors (17497392).

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

8961408 is a wasteful number, since it uses less digits than its factorization.

8961408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8961408 is about 2993.5610900732. The cubic root of 8961408 is about 207.7106430157.

It can be divided in two parts, 896 and 1408, that added together give a square (2304 = 48²).

The spelling of 8961408 in words is "eight million, nine hundred sixty-one thousand, four hundred eight".