926126880 has 384 divisors, whose sum is σ = 3570739200. Its totient is φ = 197074944.

The previous prime is 926126879. The next prime is 926126881. The reversal of 926126880 is 88621629.

It is an interprime number because it is at equal distance from previous prime (926126879) and next prime (926126881).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (926126881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5681679 + ... + 5681841.

It is an arithmetic number, because the mean of its divisors is an integer number (9298800).

Almost surely, 2^926126880 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 926126880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785369600).

926126880 is an abundant number, since it is smaller than the sum of its proper divisors (2644612320).

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

926126880 is a wasteful number, since it uses less digits than its factorization.

926126880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 926126880 is about 30432.3328057512. The cubic root of 926126880 is about 974.7430854971.

The spelling of 926126880 in words is "nine hundred twenty-six million, one hundred twenty-six thousand, eight hundred eighty".