1032777216 has 140 divisors (see below), whose sum is σ = 3095008752. Its totient is φ = 344134656.

The previous prime is 1032777199. The next prime is 1032777223. The reversal of 1032777216 is 6127772301.

1032777216 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 371865 + ... + 374631.

Almost surely, 2^1032777216 is an apocalyptic number.

1032777216 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 1032777216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547504376).

1032777216 is an abundant number, since it is smaller than the sum of its proper divisors (2062231536).

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

1032777216 is an frugal number, since it uses more digits than its factorization.

1032777216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 1032777216 is about 32136.8513703505. The cubic root of 1032777216 is about 1010.8084942237.

The spelling of 1032777216 in words is "one billion, thirty-two million, seven hundred seventy-seven thousand, two hundred sixteen".