920101248 has 128 divisors (see below), whose sum is σ = 2962569600. Its totient is φ = 278807040.

The previous prime is 920101219. The next prime is 920101261. The reversal of 920101248 is 842101029.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25915 + ... + 50117.

It is an arithmetic number, because the mean of its divisors is an integer number (23145075).

Almost surely, 2^920101248 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 920101248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481284800).

920101248 is an abundant number, since it is smaller than the sum of its proper divisors (2042468352).

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

920101248 is a wasteful number, since it uses less digits than its factorization.

920101248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24237 (or 24219 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 920101248 is about 30333.1707541431. The cubic root of 920101248 is about 972.6245034150.

The spelling of 920101248 in words is "nine hundred twenty million, one hundred one thousand, two hundred forty-eight".