1053696000 has 448 divisors, whose sum is σ = 4089196800. Its totient is φ = 240844800.

The previous prime is 1053695971. The next prime is 1053696029. The reversal of 1053696000 is 6963501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1053695971) and next prime (1053696029).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1053696000² = 2220550520832000000, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150527997 + ... + 150528003.

Almost surely, 2^1053696000 is an apocalyptic number.

1053696000 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 1053696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044598400).

1053696000 is an abundant number, since it is smaller than the sum of its proper divisors (3035500800).

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

1053696000 is an frugal number, since it uses more digits than its factorization.

1053696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 1053696000 is about 32460.6839114643. The cubic root of 1053696000 is about 1017.5875319860.

The spelling of 1053696000 in words is "one billion, fifty-three million, six hundred ninety-six thousand".