1062661600 has 288 divisors, whose sum is σ = 3485776896. Its totient is φ = 305510400.

The previous prime is 1062661597. The next prime is 1062661661. The reversal of 1062661600 is 61662601.

It is a super-2 number, since 2×1062661600² = 2258499352229120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 47 ways as a sum of consecutive naturals, for example, 800137 + ... + 801463.

It is an arithmetic number, because the mean of its divisors is an integer number (12103392).

Almost surely, 2^1062661600 is an apocalyptic number.

1062661600 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 1062661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742888448).

1062661600 is an abundant number, since it is smaller than the sum of its proper divisors (2423115296).

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

1062661600 is a wasteful number, since it uses less digits than its factorization.

1062661600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 1062661600 is about 32598.4907626105. The cubic root of 1062661600 is about 1020.4655058344.

The spelling of 1062661600 in words is "one billion, sixty-two million, six hundred sixty-one thousand, six hundred".