1061138400 has 288 divisors, whose sum is σ = 4000243968. Its totient is φ = 239308800.

The previous prime is 1061138363. The next prime is 1061138413. The reversal of 1061138400 is 48311601.

It is a super-2 number, since 2×1061138400² = 2252029407909120000, 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, 1394020 + ... + 1394780.

It is an arithmetic number, because the mean of its divisors is an integer number (13889736).

Almost surely, 2^1061138400 is an apocalyptic number.

1061138400 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 1061138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000121984).

1061138400 is an abundant number, since it is smaller than the sum of its proper divisors (2939105568).

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

1061138400 is a wasteful number, since it uses less digits than its factorization.

1061138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1061138400 is about 32575.1193397660. The cubic root of 1061138400 is about 1019.9777003968.

The spelling of 1061138400 in words is "one billion, sixty-one million, one hundred thirty-eight thousand, four hundred".