1016914080 has 384 divisors, whose sum is σ = 4075094016. Its totient is φ = 207360000.

The previous prime is 1016914069. The next prime is 1016914081. The reversal of 1016914080 is 804196101.

It is a super-2 number, since 2×1016914080² = 2068228492204492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1016914081) 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 63 ways as a sum of consecutive naturals, for example, 1353705 + ... + 1354455.

It is an arithmetic number, because the mean of its divisors is an integer number (10612224).

Almost surely, 2^1016914080 is an apocalyptic number.

1016914080 is a gapful number since it is divisible by the number (10) 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 1016914080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037547008).

1016914080 is an abundant number, since it is smaller than the sum of its proper divisors (3058179936).

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

1016914080 is a wasteful number, since it uses less digits than its factorization.

1016914080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 1016914080 is about 31889.0902974669. The cubic root of 1016914080 is about 1005.6065346916.

The spelling of 1016914080 in words is "one billion, sixteen million, nine hundred fourteen thousand, eighty".