1062860400 has 480 divisors, whose sum is σ = 4583278080. Its totient is φ = 228372480.

The previous prime is 1062860387. The next prime is 1062860413. The reversal of 1062860400 is 40682601.

It is an interprime number because it is at equal distance from previous prime (1062860387) and next prime (1062860413).

It is a super-2 number, since 2×1062860400² = 2259344459776320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1284787 + ... + 1285613.

It is an arithmetic number, because the mean of its divisors is an integer number (9548496).

Almost surely, 2^1062860400 is an apocalyptic number.

1062860400 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 1062860400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291639040).

1062860400 is an abundant number, since it is smaller than the sum of its proper divisors (3520417680).

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

1062860400 is a wasteful number, since it uses less digits than its factorization.

1062860400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1062860400 is about 32601.5398409339. The cubic root of 1062860400 is about 1020.5291372210.

The spelling of 1062860400 in words is "one billion, sixty-two million, eight hundred sixty thousand, four hundred".