1126916400 has 240 divisors, whose sum is σ = 3928168224. Its totient is φ = 275005440.

The previous prime is 1126916387. The next prime is 1126916407. The reversal of 1126916400 is 46196211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 (1126916407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754054 + ... + 755546.

Almost surely, 2^1126916400 is an apocalyptic number.

1126916400 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 1126916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964084112).

1126916400 is an abundant number, since it is smaller than the sum of its proper divisors (2801251824).

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

1126916400 is a wasteful number, since it uses less digits than its factorization.

1126916400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1126916400 is about 33569.5755111678. The cubic root of 1126916400 is about 1040.6321354199.

The spelling of 1126916400 in words is "one billion, one hundred twenty-six million, nine hundred sixteen thousand, four hundred".