920147200 has 432 divisors, whose sum is σ = 2919813120. Its totient is φ = 279797760.

The previous prime is 920147161. The next prime is 920147201. The reversal of 920147200 is 2741029.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920147201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19577577 + ... + 19577623.

Almost surely, 2^920147200 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 920147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459906560).

920147200 is an abundant number, since it is smaller than the sum of its proper divisors (1999665920).

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

920147200 is a wasteful number, since it uses less digits than its factorization.

920147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 920147200 is about 30333.9281992953. The cubic root of 920147200 is about 972.6406948567.

Adding to 920147200 its reverse (2741029), we get a palindrome (922888229).

The spelling of 920147200 in words is "nine hundred twenty million, one hundred forty-seven thousand, two hundred".