1057968 has 80 divisors (see below), whose sum is σ = 3174400. Its totient is φ = 336960.

The previous prime is 1057963. The next prime is 1057981. The reversal of 1057968 is 8697501.

It is a super-2 number, since 2×1057968² = 2238592578048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1057963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13353 + ... + 13431.

It is an arithmetic number, because the mean of its divisors is an integer number (39680).

2^1057968 is an apocalyptic number.

1057968 is a gapful number since it is divisible by the number (18) 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 1057968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587200).

1057968 is an abundant number, since it is smaller than the sum of its proper divisors (2116432).

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

1057968 is a wasteful number, since it uses less digits than its factorization.

1057968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1057968 is about 1028.5757142768. The cubic root of 1057968 is about 101.8960879476.

It can be divided in two parts, 1057 and 968, that added together give a square (2025 = 45²).

The spelling of 1057968 in words is "one million, fifty-seven thousand, nine hundred sixty-eight".