81902496 has 192 divisors, whose sum is σ = 250629120. Its totient is φ = 23224320.

The previous prime is 81902479. The next prime is 81902507. The reversal of 81902496 is 69420918.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 1121916 + ... + 1121988.

It is an arithmetic number, because the mean of its divisors is an integer number (1305360).

Almost surely, 2^81902496 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 81902496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125314560).

81902496 is an abundant number, since it is smaller than the sum of its proper divisors (168726624).

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

81902496 is a wasteful number, since it uses less digits than its factorization.

81902496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 81902496 is about 9049.9997790055. Note that the first 3 decimals coincide. The cubic root of 81902496 is about 434.2758834010.

The spelling of 81902496 in words is "eighty-one million, nine hundred two thousand, four hundred ninety-six".