1141906800 has 60 divisors (see below), whose sum is σ = 3657911960. Its totient is φ = 304508160.

The previous prime is 1141906771. The next prime is 1141906811. The reversal of 1141906800 is 86091411.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1141906800² = 2607902279772480000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 474595 + ... + 476994.

Almost surely, 2^1141906800 is an apocalyptic number.

1141906800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141906800 is an abundant number, since it is smaller than the sum of its proper divisors (2516005160).

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

1141906800 is a wasteful number, since it uses less digits than its factorization.

1141906800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951610 (or 951599 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 1141906800 is about 33792.1115054978. Note that the first 3 decimals coincide. The cubic root of 1141906800 is about 1045.2260371977.

The spelling of 1141906800 in words is "one billion, one hundred forty-one million, nine hundred six thousand, eight hundred".