82633644 has 36 divisors (see below), whose sum is σ = 216084960. Its totient is φ = 26594400.

The previous prime is 82633627. The next prime is 82633657. The reversal of 82633644 is 44633628.

It is a happy number.

82633644 is a `hidden beast` number, since 8 + 2 + 6 + 3 + 3 + 644 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 82633599 and 82633608.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38532 + ... + 40619.

It is an arithmetic number, because the mean of its divisors is an integer number (6002360).

Almost surely, 2^82633644 is an apocalyptic number.

It is an amenable number.

82633644 is an abundant number, since it is smaller than the sum of its proper divisors (133451316).

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

82633644 is a wasteful number, since it uses less digits than its factorization.

82633644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79190 (or 79185 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 82633644 is about 9090.3049453800. The cubic root of 82633644 is about 435.5643250564.

The spelling of 82633644 in words is "eighty-two million, six hundred thirty-three thousand, six hundred forty-four".