1096680400 has 60 divisors (see below), whose sum is σ = 2638809900. Its totient is φ = 438000640.

The previous prime is 1096680373. The next prime is 1096680401. The reversal of 1096680400 is 40866901.

It can be written as a sum of positive squares in 6 ways, for example, as 151486864 + 945193536 = 12308^2 + 30744^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1096680401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321906 + ... + 325294.

It is an arithmetic number, because the mean of its divisors is an integer number (43980165).

Almost surely, 2^1096680400 is an apocalyptic number.

1096680400 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 1096680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319404950).

1096680400 is an abundant number, since it is smaller than the sum of its proper divisors (1542129500).

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

1096680400 is a wasteful number, since it uses less digits than its factorization.

1096680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 1096680400 is about 33116.1652369353. The cubic root of 1096680400 is about 1031.2406578890.

The spelling of 1096680400 in words is "one billion, ninety-six million, six hundred eighty thousand, four hundred".