82374656 has 156 divisors (see below), whose sum is σ = 215849232. Its totient is φ = 30670848.

The previous prime is 82374641. The next prime is 82374659. The reversal of 82374656 is 65647328.

It is a happy number.

It is a super-2 number, since 2×82374656² = 13571167902236672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82374659) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4845560 + ... + 4845576.

Almost surely, 2^82374656 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 82374656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107924616).

82374656 is an abundant number, since it is smaller than the sum of its proper divisors (133474576).

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

82374656 is a wasteful number, since it uses less digits than its factorization.

82374656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 39 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 82374656 is about 9076.0484793769. The cubic root of 82374656 is about 435.1088044208.

The spelling of 82374656 in words is "eighty-two million, three hundred seventy-four thousand, six hundred fifty-six".