903607680 has 128 divisors (see below), whose sum is σ = 2892165120. Its totient is φ = 239966208.

The previous prime is 903607657. The next prime is 903607703. The reversal of 903607680 is 86706309.

It is an interprime number because it is at equal distance from previous prime (903607657) and next prime (903607703).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542529 + ... + 544191.

It is an arithmetic number, because the mean of its divisors is an integer number (22595040).

Almost surely, 2^903607680 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 903607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446082560).

903607680 is an abundant number, since it is smaller than the sum of its proper divisors (1988557440).

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

903607680 is a wasteful number, since it uses less digits than its factorization.

903607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 903607680 is about 30060.0678641949. The cubic root of 903607680 is about 966.7777301377. Note that the first 4 decimals are identical.

The spelling of 903607680 in words is "nine hundred three million, six hundred seven thousand, six hundred eighty".