1611664164 has 144 divisors (see below), whose sum is σ = 4559458176. Its totient is φ = 475891200.

The previous prime is 1611664157. The next prime is 1611664199. The reversal of 1611664164 is 4614661161.

1611664164 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 6 + 641 + 6 + 4 = 666.

It is a super-2 number, since 2×1611664164² = 5194922755043637792, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3309129 + ... + 3309615.

It is an arithmetic number, because the mean of its divisors is an integer number (31662904).

Almost surely, 2^1611664164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1611664164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279729088).

1611664164 is an abundant number, since it is smaller than the sum of its proper divisors (2947794012).

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

1611664164 is a wasteful number, since it uses less digits than its factorization.

1611664164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 701 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1611664164 is about 40145.5372862290. The cubic root of 1611664164 is about 1172.4424017180.

The spelling of 1611664164 in words is "one billion, six hundred eleven million, six hundred sixty-four thousand, one hundred sixty-four".