1057353600 has 192 divisors, whose sum is σ = 3527274240. Its totient is φ = 278353920.

The previous prime is 1057353593. The next prime is 1057353637. The reversal of 1057353600 is 63537501.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1057353600² = 2235993270865920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 796137 + ... + 797463.

It is an arithmetic number, because the mean of its divisors is an integer number (18371220).

Almost surely, 2^1057353600 is an apocalyptic number.

1057353600 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 1057353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763637120).

1057353600 is an abundant number, since it is smaller than the sum of its proper divisors (2469920640).

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

1057353600 is a wasteful number, since it uses less digits than its factorization.

1057353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 1057353600 is about 32516.9740289591. The cubic root of 1057353600 is about 1018.7635922258.

The spelling of 1057353600 in words is "one billion, fifty-seven million, three hundred fifty-three thousand, six hundred".