81862368 has 96 divisors (see below), whose sum is σ = 251387136. Its totient is φ = 22837248.

The previous prime is 81862367. The next prime is 81862399. The reversal of 81862368 is 86326818.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81862367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27480 + ... + 30312.

It is an arithmetic number, because the mean of its divisors is an integer number (2618616).

Almost surely, 2^81862368 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 81862368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125693568).

81862368 is an abundant number, since it is smaller than the sum of its proper divisors (169524768).

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

81862368 is a wasteful number, since it uses less digits than its factorization.

81862368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2888 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 81862368 is about 9047.7824907543. The cubic root of 81862368 is about 434.2049475512.

Adding to 81862368 its sum of digits (42), we get a triangular number (81862410 = T₁₂₇₉₅).

The spelling of 81862368 in words is "eighty-one million, eight hundred sixty-two thousand, three hundred sixty-eight".