1038890016 has 96 divisors (see below), whose sum is σ = 3044018880. Its totient is φ = 344706048.

The previous prime is 1038889991. The next prime is 1038890051. The reversal of 1038890016 is 6100988301.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193480 + ... + 198776.

It is an arithmetic number, because the mean of its divisors is an integer number (31708530).

Almost surely, 2^1038890016 is an apocalyptic number.

1038890016 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 1038890016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522009440).

1038890016 is an abundant number, since it is smaller than the sum of its proper divisors (2005128864).

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

1038890016 is a wasteful number, since it uses less digits than its factorization.

1038890016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5543 (or 5529 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1038890016 is about 32231.8168274765. The cubic root of 1038890016 is about 1012.7988297644.

The spelling of 1038890016 in words is "one billion, thirty-eight million, eight hundred ninety thousand, sixteen".