1093716400 has 120 divisors (see below), whose sum is σ = 3022306560. Its totient is φ = 372583680.

The previous prime is 1093716391. The next prime is 1093716409. The reversal of 1093716400 is 46173901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1093716391) and next prime (1093716409).

It is not an unprimeable number, because it can be changed into a prime (1093716409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466431 + ... + 468769.

It is an arithmetic number, because the mean of its divisors is an integer number (25185888).

Almost surely, 2^1093716400 is an apocalyptic number.

1093716400 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 1093716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511153280).

1093716400 is an abundant number, since it is smaller than the sum of its proper divisors (1928590160).

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

1093716400 is a wasteful number, since it uses less digits than its factorization.

1093716400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 1093716400 is about 33071.3834001543. The cubic root of 1093716400 is about 1030.3107743537.

It can be divided in two parts, 1093716 and 400, that added together give a square (1094116 = 1046²).

The spelling of 1093716400 in words is "one billion, ninety-three million, seven hundred sixteen thousand, four hundred".