1060724400 has 120 divisors (see below), whose sum is σ = 3576765120. Its totient is φ = 267966720.

The previous prime is 1060724377. The next prime is 1060724411. The reversal of 1060724400 is 44270601.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1060724400² = 2250272505510720000, which contains 22 as substring.

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

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, 462 + ... + 46061.

It is an arithmetic number, because the mean of its divisors is an integer number (29806376).

Almost surely, 2^1060724400 is an apocalyptic number.

1060724400 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 1060724400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788382560).

1060724400 is an abundant number, since it is smaller than the sum of its proper divisors (2516040720).

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

1060724400 is a wasteful number, since it uses less digits than its factorization.

1060724400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46563 (or 46552 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 1060724400 is about 32568.7641767384. The cubic root of 1060724400 is about 1019.8450360507.

The spelling of 1060724400 in words is "one billion, sixty million, seven hundred twenty-four thousand, four hundred".