1053197640 has 320 divisors, whose sum is σ = 3998808000. Its totient is φ = 246274560.

The previous prime is 1053197603. The next prime is 1053197653. The reversal of 1053197640 is 467913501.

1053197640 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 1 + 9 + 7 + 640 = 666.

It is a super-2 number, since 2×1053197640² = 2218450537803139200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1053197595 and 1053197604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1033051 + ... + 1034069.

It is an arithmetic number, because the mean of its divisors is an integer number (12496275).

Almost surely, 2^1053197640 is an apocalyptic number.

1053197640 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 1053197640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999404000).

1053197640 is an abundant number, since it is smaller than the sum of its proper divisors (2945610360).

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

1053197640 is a wasteful number, since it uses less digits than its factorization.

1053197640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1053197640 is about 32453.0066403716. The cubic root of 1053197640 is about 1017.4270793526.

The spelling of 1053197640 in words is "one billion, fifty-three million, one hundred ninety-seven thousand, six hundred forty".