1032906816 has 140 divisors (see below), whose sum is σ = 3195352512. Its totient is φ = 329294592.

The previous prime is 1032906811. The next prime is 1032906821. The reversal of 1032906816 is 6186092301.

It is an interprime number because it is at equal distance from previous prime (1032906811) and next prime (1032906821).

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 (1032906811) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114901 + ... + 123563.

Almost surely, 2^1032906816 is an apocalyptic number.

1032906816 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 1032906816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597676256).

1032906816 is an abundant number, since it is smaller than the sum of its proper divisors (2162445696).

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

1032906816 is an equidigital number, since it uses as much as digits as its factorization.

1032906816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8710 (or 8691 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1032906816 is about 32138.8676838497. The cubic root of 1032906816 is about 1010.8507735264.

The spelling of 1032906816 in words is "one billion, thirty-two million, nine hundred six thousand, eight hundred sixteen".