81629262 has 144 divisors (see below), whose sum is σ = 221875920. Its totient is φ = 22096800.

The previous prime is 81629221. The next prime is 81629269. The reversal of 81629262 is 26292618.

It is a happy number.

81629262 is a `hidden beast` number, since 8 + 1 + 629 + 26 + 2 = 666.

Its product of digits (20736) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81629269) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2633187 + ... + 2633217.

It is an arithmetic number, because the mean of its divisors is an integer number (1540805).

Almost surely, 2^81629262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81629262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110937960).

81629262 is an abundant number, since it is smaller than the sum of its proper divisors (140246658).

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

81629262 is a wasteful number, since it uses less digits than its factorization.

81629262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 60 counting only the distinct ones).

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

The square root of 81629262 is about 9034.8913662534. The cubic root of 81629262 is about 433.7924177360.

It can be divided in two parts, 8162 and 9262, that added together give a square (17424 = 132²).

The spelling of 81629262 in words is "eighty-one million, six hundred twenty-nine thousand, two hundred sixty-two".