926125200 has 720 divisors, whose sum is σ = 4331972736. Its totient is φ = 176947200.

The previous prime is 926125159. The next prime is 926125219. The reversal of 926125200 is 2521629.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3603472 + ... + 3603728.

Almost surely, 2^926125200 is an apocalyptic number.

926125200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 926125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165986368).

926125200 is an abundant number, since it is smaller than the sum of its proper divisors (3405847536).

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

926125200 is a wasteful number, since it uses less digits than its factorization.

926125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 926125200 is about 30432.3052035169. The cubic root of 926125200 is about 974.7424961001.

Adding to 926125200 its reverse (2521629), we get a palindrome (928646829).

The spelling of 926125200 in words is "nine hundred twenty-six million, one hundred twenty-five thousand, two hundred".