920971600 has 120 divisors (see below), whose sum is σ = 2359723968. Its totient is φ = 344217600.

The previous prime is 920971573. The next prime is 920971603. The reversal of 920971600 is 6179029.

920971600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920971603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1135195 + ... + 1136005.

Almost surely, 2^920971600 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 920971600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179861984).

920971600 is an abundant number, since it is smaller than the sum of its proper divisors (1438752368).

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

920971600 is a wasteful number, since it uses less digits than its factorization.

920971600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 920971600 is about 30347.5139014714. The cubic root of 920971600 is about 972.9310852198.

The spelling of 920971600 in words is "nine hundred twenty million, nine hundred seventy-one thousand, six hundred".