1052016 has 80 divisors (see below), whose sum is σ = 3237888. Its totient is φ = 288000.

The previous prime is 1051991. The next prime is 1052027. The reversal of 1052016 is 6102501.

1052016 = T₆₁ + T₆₂ + ... + T₁₈₆.

1052016 = 169² + 170² + ... + 199².

It is a super-2 number, since 2×1052016² = 2213475328512, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1051986 and 1052004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10366 + ... + 10466.

2^1052016 is an apocalyptic number.

1052016 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 1052016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618944).

1052016 is an abundant number, since it is smaller than the sum of its proper divisors (2185872).

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

1052016 is a wasteful number, since it uses less digits than its factorization.

1052016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1052016 is about 1025.6783121427. The cubic root of 1052016 is about 101.7046434611.

Adding to 1052016 its reverse (6102501), we get a palindrome (7154517).

The spelling of 1052016 in words is "one million, fifty-two thousand, sixteen".