1030948272 has 120 divisors (see below), whose sum is σ = 3076276320. Its totient is φ = 321177600.

The previous prime is 1030948253. The next prime is 1030948273. The reversal of 1030948272 is 2728490301.

1030948272 is a `hidden beast` number, since 103 + 0 + 9 + 482 + 72 = 666.

1030948272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1030948273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368254 + ... + 371042.

It is an arithmetic number, because the mean of its divisors is an integer number (25635636).

Almost surely, 2^1030948272 is an apocalyptic number.

1030948272 is a gapful number since it is divisible by the number (12) 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 1030948272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538138160).

1030948272 is an abundant number, since it is smaller than the sum of its proper divisors (2045328048).

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

1030948272 is a wasteful number, since it uses less digits than its factorization.

1030948272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1030948272 is about 32108.3832043907. The cubic root of 1030948272 is about 1010.2114617851.

The spelling of 1030948272 in words is "one billion, thirty million, nine hundred forty-eight thousand, two hundred seventy-two".