1057396940 has 72 divisors (see below), whose sum is σ = 2458239840. Its totient is φ = 380706304.

The previous prime is 1057396919. The next prime is 1057396969. The reversal of 1057396940 is 496937501.

1057396940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1057396940² = 2236176577442727200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057396891 and 1057396900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176921 + ... + 182799.

It is an arithmetic number, because the mean of its divisors is an integer number (34142220).

Almost surely, 2^1057396940 is an apocalyptic number.

1057396940 is a gapful number since it is divisible by the number (10) 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 1057396940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229119920).

1057396940 is an abundant number, since it is smaller than the sum of its proper divisors (1400842900).

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

1057396940 is a wasteful number, since it uses less digits than its factorization.

1057396940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 1057396940 is about 32517.6404433040. The cubic root of 1057396940 is about 1018.7775114454. Note that the first 3 decimals are identical.

The spelling of 1057396940 in words is "one billion, fifty-seven million, three hundred ninety-six thousand, nine hundred forty".