1002732016 has 80 divisors (see below), whose sum is σ = 2325788640. Its totient is φ = 412738560.

The previous prime is 1002732013. The next prime is 1002732023. The reversal of 1002732016 is 6102372001.

It is a super-2 number, since 2×1002732016² = 2010942991822848512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002732013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117130 + ... + 125398.

It is an arithmetic number, because the mean of its divisors is an integer number (29072358).

Almost surely, 2^1002732016 is an apocalyptic number.

1002732016 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 1002732016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162894320).

1002732016 is an abundant number, since it is smaller than the sum of its proper divisors (1323056624).

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

1002732016 is a wasteful number, since it uses less digits than its factorization.

1002732016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8354 (or 8348 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 1002732016 is about 31665.9441040371. The cubic root of 1002732016 is about 1000.9098439330.

The spelling of 1002732016 in words is "one billion, two million, seven hundred thirty-two thousand, sixteen".