920913000 has 128 divisors (see below), whose sum is σ = 3283787520. Its totient is φ = 210489600.

The previous prime is 920912981. The next prime is 920913011. The reversal of 920913000 is 319029.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 927 + ... + 42926.

It is an arithmetic number, because the mean of its divisors is an integer number (25654590).

Almost surely, 2^920913000 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 920913000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641893760).

920913000 is an abundant number, since it is smaller than the sum of its proper divisors (2362874520).

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

920913000 is a wasteful number, since it uses less digits than its factorization.

920913000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43884 (or 43870 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 920913000 is about 30346.5484034017. The cubic root of 920913000 is about 972.9104494149.

The spelling of 920913000 in words is "nine hundred twenty million, nine hundred thirteen thousand".