1029974016 has 96 divisors (see below), whose sum is σ = 2798621280. Its totient is φ = 336740352.

The previous prime is 1029973999. The next prime is 1029974047. The reversal of 1029974016 is 6104799201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324051 + ... + 327213.

It is an arithmetic number, because the mean of its divisors is an integer number (29152305).

Almost surely, 2^1029974016 is an apocalyptic number.

1029974016 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 1029974016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399310640).

1029974016 is an abundant number, since it is smaller than the sum of its proper divisors (1768647264).

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

1029974016 is an equidigital number, since it uses as much as digits as its factorization.

1029974016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3241 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 1029974016 is about 32093.2082534607. The cubic root of 1029974016 is about 1009.8931416536.

The spelling of 1029974016 in words is "one billion, twenty-nine million, nine hundred seventy-four thousand, sixteen".