1166950400 has 360 divisors, whose sum is σ = 3705554496. Its totient is φ = 353894400.

The previous prime is 1166950387. The next prime is 1166950423. The reversal of 1166950400 is 40596611.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31539182 + ... + 31539218.

Almost surely, 2^1166950400 is an apocalyptic number.

1166950400 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 1166950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852777248).

1166950400 is an abundant number, since it is smaller than the sum of its proper divisors (2538604096).

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

1166950400 is an equidigital number, since it uses as much as digits as its factorization.

1166950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 1166950400 is about 34160.6557314112. The cubic root of 1166950400 is about 1052.8119337284.

The spelling of 1166950400 in words is "one billion, one hundred sixty-six million, nine hundred fifty thousand, four hundred".