920602368 has 288 divisors, whose sum is σ = 3178828800. Its totient is φ = 257347584.

The previous prime is 920602349. The next prime is 920602379. The reversal of 920602368 is 863206029.

920602368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2564173 + ... + 2564531.

It is an arithmetic number, because the mean of its divisors is an integer number (11037600).

Almost surely, 2^920602368 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 920602368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589414400).

920602368 is an abundant number, since it is smaller than the sum of its proper divisors (2258226432).

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

920602368 is a wasteful number, since it uses less digits than its factorization.

920602368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 424 counting only the distinct ones).

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

The square root of 920602368 is about 30341.4298937937. The cubic root of 920602368 is about 972.8010467152.

The spelling of 920602368 in words is "nine hundred twenty million, six hundred two thousand, three hundred sixty-eight".