181061664 has 144 divisors (see below), whose sum is σ = 562838976. Its totient is φ = 50803200.

The previous prime is 181061641. The next prime is 181061687. The reversal of 181061664 is 466160181.

181061664 = T₁₄₇ + T₁₄₈ + ... + T₁₀₂₈.

It is an interprime number because it is at equal distance from previous prime (181061641) and next prime (181061687).

It is a congruent number.

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, 286629 + ... + 287259.

It is an arithmetic number, because the mean of its divisors is an integer number (3908604).

Almost surely, 2^181061664 is an apocalyptic number.

181061664 is a gapful number since it is divisible by the number (14) 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 181061664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281419488).

181061664 is an abundant number, since it is smaller than the sum of its proper divisors (381777312).

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

181061664 is a wasteful number, since it uses less digits than its factorization.

181061664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 181061664 is about 13455.9155764296. The cubic root of 181061664 is about 565.7295131966.

The spelling of 181061664 in words is "one hundred eighty-one million, sixty-one thousand, six hundred sixty-four".