1016988072 has 64 divisors (see below), whose sum is σ = 2690107200. Its totient is φ = 319495680.

The previous prime is 1016988047. The next prime is 1016988073. The reversal of 1016988072 is 2708896101.

It is not an unprimeable number, because it can be changed into a prime (1016988073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84172 + ... + 95492.

It is an arithmetic number, because the mean of its divisors is an integer number (42032925).

Almost surely, 2^1016988072 is an apocalyptic number.

1016988072 is a gapful number since it is divisible by the number (12) 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 1016988072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345053600).

1016988072 is an abundant number, since it is smaller than the sum of its proper divisors (1673119128).

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

1016988072 is a wasteful number, since it uses less digits than its factorization.

1016988072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11546 (or 11542 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 1016988072 is about 31890.2504223470. The cubic root of 1016988072 is about 1005.6309238495.

The spelling of 1016988072 in words is "one billion, sixteen million, nine hundred eighty-eight thousand, seventy-two".