36682464 has 288 divisors, whose sum is σ = 132814080. Its totient is φ = 8626176.

The previous prime is 36682463. The next prime is 36682511. The reversal of 36682464 is 46428663.

It is a super-2 number, since 2×36682464² = 2691206330222592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36682463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1930647 + ... + 1930665.

It is an arithmetic number, because the mean of its divisors is an integer number (461160).

Almost surely, 2^36682464 is an apocalyptic number.

36682464 is a gapful number since it is divisible by the number (34) 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 36682464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66407040).

36682464 is an abundant number, since it is smaller than the sum of its proper divisors (96131616).

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

36682464 is a wasteful number, since it uses less digits than its factorization.

36682464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 61 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 36682464 is about 6056.6049895961. The cubic root of 36682464 is about 332.2662015572.

The spelling of 36682464 in words is "thirty-six million, six hundred eighty-two thousand, four hundred sixty-four".