81627420 has 192 divisors, whose sum is σ = 281594880. Its totient is φ = 17252352.

The previous prime is 81627419. The next prime is 81627449. The reversal of 81627420 is 2472618.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 422844 + ... + 423036.

It is an arithmetic number, because the mean of its divisors is an integer number (1466640).

Almost surely, 2^81627420 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 81627420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140797440).

81627420 is an abundant number, since it is smaller than the sum of its proper divisors (199967460).

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

81627420 is a wasteful number, since it uses less digits than its factorization.

81627420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 81627420 is about 9034.7894275406. The cubic root of 81627420 is about 433.7891548062.

It can be divided in two parts, 81627 and 420, that multiplied together give a triangular number (34283340 = T₈₂₈₀).

The spelling of 81627420 in words is "eighty-one million, six hundred twenty-seven thousand, four hundred twenty".