1013474016 has 72 divisors (see below), whose sum is σ = 2899882440. Its totient is φ = 335736576.

The previous prime is 1013473999. The next prime is 1013474017. The reversal of 1013474016 is 6104743101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1013474016² = 2054259162214336512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013474017) 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 11 ways as a sum of consecutive naturals, for example, 36150 + ... + 57738.

It is an arithmetic number, because the mean of its divisors is an integer number (40276145).

Almost surely, 2^1013474016 is an apocalyptic number.

1013474016 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 1013474016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449941220).

1013474016 is an abundant number, since it is smaller than the sum of its proper divisors (1886408424).

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

1013474016 is a wasteful number, since it uses less digits than its factorization.

1013474016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21768 (or 21757 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1013474016 is about 31835.1066591585. The cubic root of 1013474016 is about 1004.4713162003.

The spelling of 1013474016 in words is "one billion, thirteen million, four hundred seventy-four thousand, sixteen".