82954368 has 224 divisors, whose sum is σ = 285404160. Its totient is φ = 23514624.

The previous prime is 82954351. The next prime is 82954393. The reversal of 82954368 is 86345928.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×82954368³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 653121 + ... + 653247.

Almost surely, 2^82954368 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 82954368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142702080).

82954368 is an abundant number, since it is smaller than the sum of its proper divisors (202449792).

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

82954368 is an equidigital number, since it uses as much as digits as its factorization.

82954368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 139 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 82954368 is about 9107.9288534771. The cubic root of 82954368 is about 436.1271127286.

The spelling of 82954368 in words is "eighty-two million, nine hundred fifty-four thousand, three hundred sixty-eight".