1611167328 has 96 divisors (see below), whose sum is σ = 4706190720. Its totient is φ = 536261760.

The previous prime is 1611167293. The next prime is 1611167347. The reversal of 1611167328 is 8237611161.

1611167328 is a `hidden beast` number, since 1 + 611 + 1 + 6 + 7 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1611167292 and 1611167301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1024783 + ... + 1026353.

It is an arithmetic number, because the mean of its divisors is an integer number (49022820).

Almost surely, 2^1611167328 is an apocalyptic number.

1611167328 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 1611167328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353095360).

1611167328 is an abundant number, since it is smaller than the sum of its proper divisors (3095023392).

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

1611167328 is a wasteful number, since it uses less digits than its factorization.

1611167328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2763 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 1611167328 is about 40139.3488736427. The cubic root of 1611167328 is about 1172.3219110529.

Adding to 1611167328 its reverse (8237611161), we get a palindrome (9848778489).

The spelling of 1611167328 in words is "one billion, six hundred eleven million, one hundred sixty-seven thousand, three hundred twenty-eight".