1053216 has 96 divisors (see below), whose sum is σ = 3265920. Its totient is φ = 329472.

The previous prime is 1053197. The next prime is 1053233. The reversal of 1053216 is 6123501.

1053216 = T₂₃ + T₂₄ + ... + T₁₈₄.

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

It is a super-2 number, since 2×1053216² = 2218527885312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19846 + ... + 19898.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2^1053216 is an apocalyptic number.

1053216 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 1053216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632960).

1053216 is an abundant number, since it is smaller than the sum of its proper divisors (2212704).

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

1053216 is a wasteful number, since it uses less digits than its factorization.

1053216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1053216 is about 1026.2631241548. The cubic root of 1053216 is about 101.7432991460.

Adding to 1053216 its reverse (6123501), we get a palindrome (7176717).

It can be divided in two parts, 105 and 3216, that added together give a triangular number (3321 = T₈₁).

The spelling of 1053216 in words is "one million, fifty-three thousand, two hundred sixteen".