1033479216 has 160 divisors (see below), whose sum is σ = 3698572800. Its totient is φ = 268427520.

The previous prime is 1033479211. The next prime is 1033479229. The reversal of 1033479216 is 6129743301.

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 (1033479211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17730 + ... + 48798.

It is an arithmetic number, because the mean of its divisors is an integer number (23116080).

Almost surely, 2^1033479216 is an apocalyptic number.

1033479216 is a gapful number since it is divisible by the number (16) 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 1033479216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849286400).

1033479216 is an abundant number, since it is smaller than the sum of its proper divisors (2665093584).

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

1033479216 is a wasteful number, since it uses less digits than its factorization.

1033479216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31104 (or 31092 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1033479216 is about 32147.7715557393. The cubic root of 1033479216 is about 1011.0374648216.

It can be divided in two parts, 1033 and 479216, that added together give a square (480249 = 693²).

The spelling of 1033479216 in words is "one billion, thirty-three million, four hundred seventy-nine thousand, two hundred sixteen".