82670364 has 72 divisors (see below), whose sum is σ = 239960448. Its totient is φ = 23508000.

The previous prime is 82670359. The next prime is 82670369. The reversal of 82670364 is 46307628.

It is an interprime number because it is at equal distance from previous prime (82670359) and next prime (82670369).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82670369) 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, 62599 + ... + 63905.

It is an arithmetic number, because the mean of its divisors is an integer number (3332784).

Almost surely, 2^82670364 is an apocalyptic number.

82670364 is a gapful number since it is divisible by the number (84) 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 82670364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119980224).

82670364 is an abundant number, since it is smaller than the sum of its proper divisors (157290084).

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

82670364 is a wasteful number, since it uses less digits than its factorization.

82670364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 82670364 is about 9092.3244552754. The cubic root of 82670364 is about 435.6288328958.

The spelling of 82670364 in words is "eighty-two million, six hundred seventy thousand, three hundred sixty-four".