1126656300 has 576 divisors, whose sum is σ = 4559708160. Its totient is φ = 207360000.

The previous prime is 1126656263. The next prime is 1126656301. The reversal of 1126656300 is 36566211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1126656301) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7461225 + ... + 7461375.

It is an arithmetic number, because the mean of its divisors is an integer number (7916160).

Almost surely, 2^1126656300 is an apocalyptic number.

1126656300 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 1126656300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279854080).

1126656300 is an abundant number, since it is smaller than the sum of its proper divisors (3433051860).

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

1126656300 is a wasteful number, since it uses less digits than its factorization.

1126656300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1126656300 is about 33565.7012439782. The cubic root of 1126656300 is about 1040.5520675920.

The spelling of 1126656300 in words is "one billion, one hundred twenty-six million, six hundred fifty-six thousand, three hundred".