82645920 has 240 divisors, whose sum is σ = 333704448. Its totient is φ = 18869760.

The previous prime is 82645919. The next prime is 82645939. The reversal of 82645920 is 2954628.

It is a happy number.

82645920 is a `hidden beast` number, since 8 + 2 + 64 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90265 + ... + 91175.

Almost surely, 2^82645920 is an apocalyptic number.

82645920 is a gapful number since it is divisible by the number (80) 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 82645920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166852224).

82645920 is an abundant number, since it is smaller than the sum of its proper divisors (251058528).

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

82645920 is a wasteful number, since it uses less digits than its factorization.

82645920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 82645920 is about 9090.9801451769. The cubic root of 82645920 is about 435.5858930386.

The spelling of 82645920 in words is "eighty-two million, six hundred forty-five thousand, nine hundred twenty".