82551040 has 216 divisors, whose sum is σ = 239773464. Its totient is φ = 27033600.

The previous prime is 82551019. The next prime is 82551043. The reversal of 82551040 is 4015528.

It can be written as a sum of positive squares in 4 ways, for example, as 1982464 + 80568576 = 1408^2 + 8976^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82550996 and 82551014.

It is not an unprimeable number, because it can be changed into a prime (82551043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2013420 + ... + 2013460.

Almost surely, 2^82551040 is an apocalyptic number.

82551040 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 82551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119886732).

82551040 is an abundant number, since it is smaller than the sum of its proper divisors (157222424).

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

82551040 is a wasteful number, since it uses less digits than its factorization.

82551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 82551040 is about 9085.7602873948. The cubic root of 82551040 is about 435.4191406446.

Adding to 82551040 its reverse (4015528), we get a palindrome (86566568).

The spelling of 82551040 in words is "eighty-two million, five hundred fifty-one thousand, forty".