82614000 has 240 divisors, whose sum is σ = 310935456. Its totient is φ = 18816000.

The previous prime is 82613989. The next prime is 82614017. The reversal of 82614000 is 41628.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293860 + ... + 294140.

Almost surely, 2^82614000 is an apocalyptic number.

82614000 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 82614000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155467728).

82614000 is an abundant number, since it is smaller than the sum of its proper divisors (228321456).

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

82614000 is a wasteful number, since it uses less digits than its factorization.

82614000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 82614000 is about 9089.2243893525. The cubic root of 82614000 is about 435.5298076238.

Adding to 82614000 its reverse (41628), we get a palindrome (82655628).

The spelling of 82614000 in words is "eighty-two million, six hundred fourteen thousand".