1057672 has 64 divisors (see below), whose sum is σ = 2643840. Its totient is φ = 384000.

The previous prime is 1057663. The next prime is 1057681. The reversal of 1057672 is 2767501.

It is an interprime number because it is at equal distance from previous prime (1057663) and next prime (1057681).

It is a super-2 number, since 2×1057672² = 2237340119168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1057672.

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, 10422 + ... + 10522.

It is an arithmetic number, because the mean of its divisors is an integer number (41310).

2^1057672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321920).

1057672 is an abundant number, since it is smaller than the sum of its proper divisors (1586168).

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

1057672 is a wasteful number, since it uses less digits than its factorization.

1057672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 1057672 is about 1028.4318159217. The cubic root of 1057672 is about 101.8865841771.

It can be divided in two parts, 10576 and 72, that added together give a cube (10648 = 22³).

The spelling of 1057672 in words is "one million, fifty-seven thousand, six hundred seventy-two".