920125206 has 192 divisors, whose sum is σ = 2700472320. Its totient is φ = 218661120.

The previous prime is 920125201. The next prime is 920125247. The reversal of 920125206 is 602521029.

It is a self number, because there is not a number n which added to its sum of digits gives 920125206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920125201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4017900 + ... + 4018128.

It is an arithmetic number, because the mean of its divisors is an integer number (14064960).

Almost surely, 2^920125206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920125206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350236160).

920125206 is an abundant number, since it is smaller than the sum of its proper divisors (1780347114).

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

920125206 is a wasteful number, since it uses less digits than its factorization.

920125206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 488 counting only the distinct ones).

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

The square root of 920125206 is about 30333.5656657769. The cubic root of 920125206 is about 972.6329452162.

The spelling of 920125206 in words is "nine hundred twenty million, one hundred twenty-five thousand, two hundred six".