920227392 has 336 divisors, whose sum is σ = 3195279360. Its totient is φ = 257167872.

The previous prime is 920227387. The next prime is 920227403. The reversal of 920227392 is 293722029.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8600203 + ... + 8600309.

It is an arithmetic number, because the mean of its divisors is an integer number (9509760).

Almost surely, 2^920227392 is an apocalyptic number.

920227392 is the 15168-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920227392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597639680).

920227392 is an abundant number, since it is smaller than the sum of its proper divisors (2275051968).

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

920227392 is a wasteful number, since it uses less digits than its factorization.

920227392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 920227392 is about 30335.2499907286. The cubic root of 920227392 is about 972.6689496609.

The spelling of 920227392 in words is "nine hundred twenty million, two hundred twenty-seven thousand, three hundred ninety-two".