907661664 has 288 divisors, whose sum is σ = 3236163840. Its totient is φ = 234925056.

The previous prime is 907661641. The next prime is 907661687. The reversal of 907661664 is 466166709.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (907661641) and next prime (907661687).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×907661664³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1545979 + ... + 1546565.

It is an arithmetic number, because the mean of its divisors is an integer number (11236680).

Almost surely, 2^907661664 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 907661664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618081920).

907661664 is an abundant number, since it is smaller than the sum of its proper divisors (2328502176).

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

907661664 is a wasteful number, since it uses less digits than its factorization.

907661664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 907661664 is about 30127.4237863114. The cubic root of 907661664 is about 968.2213709497.

The spelling of 907661664 in words is "nine hundred seven million, six hundred sixty-one thousand, six hundred sixty-four".