8649400 has 48 divisors (see below), whose sum is σ = 20478600. Its totient is φ = 3396480.

The previous prime is 8649391. The next prime is 8649409. The reversal of 8649400 is 49468.

It is an interprime number because it is at equal distance from previous prime (8649391) and next prime (8649409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8649409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11434 + ... + 12166.

Almost surely, 2^8649400 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 8649400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10239300).

8649400 is an abundant number, since it is smaller than the sum of its proper divisors (11829200).

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

8649400 is a wasteful number, since it uses less digits than its factorization.

8649400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 8649400 is about 2940.9862291415. The cubic root of 8649400 is about 205.2715022503.

It can be divided in two parts, 8649 and 400, that multiplied together give a square (3459600 = 1860²).

The spelling of 8649400 in words is "eight million, six hundred forty-nine thousand, four hundred".