81652032 has 252 divisors, whose sum is σ = 298130976. Its totient is φ = 21127680.

The previous prime is 81651979. The next prime is 81652049. The reversal of 81652032 is 23025618.

81652032 is a `hidden beast` number, since 8 + 1 + 652 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 81651987 and 81652005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 310333 + ... + 310595.

Almost surely, 2^81652032 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 81652032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149065488).

81652032 is an abundant number, since it is smaller than the sum of its proper divisors (216478944).

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

81652032 is a wasteful number, since it uses less digits than its factorization.

81652032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 81652032 is about 9036.1513931541. The cubic root of 81652032 is about 433.8327485963.

The spelling of 81652032 in words is "eighty-one million, six hundred fifty-two thousand, thirty-two".