920694400 has 144 divisors (see below), whose sum is σ = 2403420390. Its totient is φ = 348456960.

The previous prime is 920694377. The next prime is 920694433. The reversal of 920694400 is 4496029.

It can be written as a sum of positive squares in 3 ways, for example, as 675584064 + 245110336 = 25992^2 + 15656^2 .

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 17 ways as a sum of consecutive naturals, for example, 1154802 + ... + 1155598.

Almost surely, 2^920694400 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 920694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201710195).

920694400 is an abundant number, since it is smaller than the sum of its proper divisors (1482725990).

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

920694400 is a wasteful number, since it uses less digits than its factorization.

920694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 920694400 is about 30342.9464620692. The cubic root of 920694400 is about 972.8334623906.

It can be divided in two parts, 92069 and 4400, that added together give a palindrome (96469).

The spelling of 920694400 in words is "nine hundred twenty million, six hundred ninety-four thousand, four hundred".