1661300928 has 280 divisors, whose sum is σ = 5961412512. Its totient is φ = 446570496.

The previous prime is 1661300923. The next prime is 1661300933. The reversal of 1661300928 is 8290031661.

1661300928 is a `hidden beast` number, since 16 + 613 + 0 + 0 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (1661300923) and next prime (1661300933).

It is a super-2 number, since 2×1661300928² = 5519841546747322368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1661300892 and 1661300901.

It is not an unprimeable number, because it can be changed into a prime (1661300923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 615550 + ... + 618242.

Almost surely, 2^1661300928 is an apocalyptic number.

1661300928 is a gapful number since it is divisible by the number (18) 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 1661300928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980706256).

1661300928 is an abundant number, since it is smaller than the sum of its proper divisors (4300111584).

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

1661300928 is a wasteful number, since it uses less digits than its factorization.

1661300928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1661300928 is about 40759.0594592172. The cubic root of 1661300928 is about 1184.3573762927.

The spelling of 1661300928 in words is "one billion, six hundred sixty-one million, three hundred thousand, nine hundred twenty-eight".