1061631200 has 144 divisors (see below), whose sum is σ = 2992870944. Its totient is φ = 360192000.

The previous prime is 1061631199. The next prime is 1061631211. The reversal of 1061631200 is 21361601.

It is a super-2 number, since 2×1061631200² = 2254121609626880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 564662 + ... + 566538.

It is an arithmetic number, because the mean of its divisors is an integer number (20783826).

Almost surely, 2^1061631200 is an apocalyptic number.

1061631200 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 1061631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496435472).

1061631200 is an abundant number, since it is smaller than the sum of its proper divisors (1931239744).

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

1061631200 is a wasteful number, since it uses less digits than its factorization.

1061631200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1061631200 is about 32582.6825169445. The cubic root of 1061631200 is about 1020.1355708562.

Adding to 1061631200 its reverse (21361601), we get a palindrome (1082992801).

The spelling of 1061631200 in words is "one billion, sixty-one million, six hundred thirty-one thousand, two hundred".