1052721600 has 672 divisors, whose sum is σ = 4444715520. Its totient is φ = 212336640.

The previous prime is 1052721587. The next prime is 1052721613. The reversal of 1052721600 is 61272501.

It is an interprime number because it is at equal distance from previous prime (1052721587) and next prime (1052721613).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1052721600² = 2216445534213120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1649 × 399 × 1600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10852752 + ... + 10852848.

It is an arithmetic number, because the mean of its divisors is an integer number (6614160).

Almost surely, 2^1052721600 is an apocalyptic number.

1052721600 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 1052721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222357760).

1052721600 is an abundant number, since it is smaller than the sum of its proper divisors (3391993920).

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

1052721600 is a wasteful number, since it uses less digits than its factorization.

1052721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1052721600 is about 32445.6715140864. The cubic root of 1052721600 is about 1017.2737656220.

The spelling of 1052721600 in words is "one billion, fifty-two million, seven hundred twenty-one thousand, six hundred".