1610532864 has 288 divisors, whose sum is σ = 5059454400. Its totient is φ = 492011520.

The previous prime is 1610532857. The next prime is 1610532877. The reversal of 1610532864 is 4682350161.

It is a happy number.

1610532864 is a `hidden beast` number, since 1 + 61 + 0 + 532 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1610532864² = 5187632212048084992, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12294079 + ... + 12294209.

It is an arithmetic number, because the mean of its divisors is an integer number (17567550).

Almost surely, 2^1610532864 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 1610532864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529727200).

1610532864 is an abundant number, since it is smaller than the sum of its proper divisors (3448921536).

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

1610532864 is a wasteful number, since it uses less digits than its factorization.

1610532864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1610532864 is about 40131.4448282142. Note that the first 3 decimals coincide. The cubic root of 1610532864 is about 1172.1680073809.

The spelling of 1610532864 in words is "one billion, six hundred ten million, five hundred thirty-two thousand, eight hundred sixty-four".