8903664 has 180 divisors, whose sum is σ = 31730608. Its totient is φ = 2280960.

The previous prime is 8903663. The next prime is 8903681. The reversal of 8903664 is 4663098.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8903663) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121932 + ... + 122004.

Almost surely, 2^8903664 is an apocalyptic number.

8903664 is a gapful number since it is divisible by the number (84) 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 8903664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15865304).

8903664 is an abundant number, since it is smaller than the sum of its proper divisors (22826944).

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

8903664 is a wasteful number, since it uses less digits than its factorization.

8903664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 8903664 is about 2983.9008026407. The cubic root of 8903664 is about 207.2635444601.

It can be divided in two parts, 890 and 3664, that added together give a palindrome (4554).

The spelling of 8903664 in words is "eight million, nine hundred three thousand, six hundred sixty-four".