1053395840 has 128 divisors (see below), whose sum is σ = 2918358720. Its totient is φ = 356106240.

The previous prime is 1053395773. The next prime is 1053395843. The reversal of 1053395840 is 485933501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1053395840² = 2219285591458611200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053395794 and 1053395803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053395843) 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, 325430 + ... + 328650.

Almost surely, 2^1053395840 is an apocalyptic number.

1053395840 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 1053395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459179360).

1053395840 is an abundant number, since it is smaller than the sum of its proper divisors (1864962880).

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

1053395840 is an equidigital number, since it uses as much as digits as its factorization.

1053395840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 1053395840 is about 32456.0601429071. The cubic root of 1053395840 is about 1017.4908981431.

The spelling of 1053395840 in words is "one billion, fifty-three million, three hundred ninety-five thousand, eight hundred forty".