82001040 has 160 divisors (see below), whose sum is σ = 281232000. Its totient is φ = 19599360.

The previous prime is 82000981. The next prime is 82001057. The reversal of 82001040 is 4010028.

It is a super-2 number, since 2×82001040² = 13448341122163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234786 + ... + 235134.

It is an arithmetic number, because the mean of its divisors is an integer number (1757700).

Almost surely, 2^82001040 is an apocalyptic number.

82001040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616000).

82001040 is an abundant number, since it is smaller than the sum of its proper divisors (199230960).

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

82001040 is a wasteful number, since it uses less digits than its factorization.

82001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 82001040 is about 9055.4425623489. The cubic root of 82001040 is about 434.4499852605.

Adding to 82001040 its reverse (4010028), we get a palindrome (86011068).

The spelling of 82001040 in words is "eighty-two million, one thousand, forty".