1061239200 has 288 divisors, whose sum is σ = 3980995200. Its totient is φ = 240537600.

The previous prime is 1061239199. The next prime is 1061239237. The reversal of 1061239200 is 29321601.

It is a super-2 number, since 2×1061239200² = 2252457279233280000, 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 47 ways as a sum of consecutive naturals, for example, 3040626 + ... + 3040974.

It is an arithmetic number, because the mean of its divisors is an integer number (13822900).

Almost surely, 2^1061239200 is an apocalyptic number.

1061239200 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 1061239200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990497600).

1061239200 is an abundant number, since it is smaller than the sum of its proper divisors (2919756000).

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

1061239200 is a wasteful number, since it uses less digits than its factorization.

1061239200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1061239200 is about 32576.6664961288. Note that the first 3 decimals coincide. The cubic root of 1061239200 is about 1020.0099960574.

The spelling of 1061239200 in words is "one billion, sixty-one million, two hundred thirty-nine thousand, two hundred".