1145661600 has 72 divisors (see below), whose sum is σ = 3729136320. Its totient is φ = 305509120.

The previous prime is 1145661589. The next prime is 1145661607. The reversal of 1145661600 is 61665411.

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 (1145661607) 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, 236280 + ... + 241079.

It is an arithmetic number, because the mean of its divisors is an integer number (51793560).

Almost surely, 2^1145661600 is an apocalyptic number.

1145661600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1145661600 is an abundant number, since it is smaller than the sum of its proper divisors (2583474720).

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

1145661600 is a wasteful number, since it uses less digits than its factorization.

1145661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477382 (or 477369 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1145661600 is about 33847.6232548166. The cubic root of 1145661600 is about 1046.3704157484.

The spelling of 1145661600 in words is "one billion, one hundred forty-five million, six hundred sixty-one thousand, six hundred".