926997120 has 384 divisors, whose sum is σ = 3715770240. Its totient is φ = 208576512.

The previous prime is 926997119. The next prime is 926997133. The reversal of 926997120 is 21799629.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3346422 + ... + 3346698.

It is an arithmetic number, because the mean of its divisors is an integer number (9676485).

Almost surely, 2^926997120 is an apocalyptic number.

926997120 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 926997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857885120).

926997120 is an abundant number, since it is smaller than the sum of its proper divisors (2788773120).

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

926997120 is a wasteful number, since it uses less digits than its factorization.

926997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 926997120 is about 30446.6273994346. The cubic root of 926997120 is about 975.0482974103.

The spelling of 926997120 in words is "nine hundred twenty-six million, nine hundred ninety-seven thousand, one hundred twenty".