1057616 has 60 divisors (see below), whose sum is σ = 2544480. Its totient is φ = 423360.

The previous prime is 1057613. The next prime is 1057631. The reversal of 1057616 is 6167501.

It is a super-2 number, since 2×1057616² = 2237103206912, which contains 22 as substring.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14861 + ... + 14931.

It is an arithmetic number, because the mean of its divisors is an integer number (42408).

2^1057616 is an apocalyptic number.

1057616 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 1057616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272240).

1057616 is an abundant number, since it is smaller than the sum of its proper divisors (1486864).

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

1057616 is a wasteful number, since it uses less digits than its factorization.

1057616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 1057616 is about 1028.4045896436. The cubic root of 1057616 is about 101.8847859670.

The spelling of 1057616 in words is "one million, fifty-seven thousand, six hundred sixteen".