1903664 has 40 divisors (see below), whose sum is σ = 4404480. Its totient is φ = 779328.

The previous prime is 1903661. The next prime is 1903669. The reversal of 1903664 is 4663091.

It is not an unprimeable number, because it can be changed into a prime (1903661) 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, 2207 + ... + 2945.

It is an arithmetic number, because the mean of its divisors is an integer number (110112).

2^1903664 is an apocalyptic number.

1903664 is a gapful number since it is divisible by the number (14) 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 1903664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202240).

1903664 is an abundant number, since it is smaller than the sum of its proper divisors (2500816).

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

1903664 is a wasteful number, since it uses less digits than its factorization.

1903664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 1903664 is about 1379.7333075635. The cubic root of 1903664 is about 123.9357974960.

The spelling of 1903664 in words is "one million, nine hundred three thousand, six hundred sixty-four".