925735680 has 432 divisors, whose sum is σ = 3529824480. Its totient is φ = 222953472.

The previous prime is 925735661. The next prime is 925735687. The reversal of 925735680 is 86537529.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (925735687) 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, 5679279 + ... + 5679441.

It is an arithmetic number, because the mean of its divisors is an integer number (8170890).

Almost surely, 2^925735680 is an apocalyptic number.

925735680 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 925735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764912240).

925735680 is an abundant number, since it is smaller than the sum of its proper divisors (2604088800).

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

925735680 is a wasteful number, since it uses less digits than its factorization.

925735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 925735680 is about 30425.9047523652. The cubic root of 925735680 is about 974.6058209364.

The spelling of 925735680 in words is "nine hundred twenty-five million, seven hundred thirty-five thousand, six hundred eighty".