1040582016 has 96 divisors (see below), whose sum is σ = 3022219200. Its totient is φ = 343636992.

The previous prime is 1040582003. The next prime is 1040582029. The reversal of 1040582016 is 6102850401.

It is an interprime number because it is at equal distance from previous prime (1040582003) and next prime (1040582029).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121425 + ... + 129711.

It is an arithmetic number, because the mean of its divisors is an integer number (31481450).

Almost surely, 2^1040582016 is an apocalyptic number.

1040582016 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 1040582016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511109600).

1040582016 is an abundant number, since it is smaller than the sum of its proper divisors (1981637184).

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

1040582016 is a wasteful number, since it uses less digits than its factorization.

1040582016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8416 (or 8401 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1040582016 is about 32258.0535060626. The cubic root of 1040582016 is about 1013.3483669669.

The spelling of 1040582016 in words is "one billion, forty million, five hundred eighty-two thousand, sixteen".