825472620 has 180 divisors, whose sum is σ = 3012609600. Its totient is φ = 188661312.

The previous prime is 825472601. The next prime is 825472631. The reversal of 825472620 is 26274528.

825472620 is a `hidden beast` number, since 8 + 25 + 4 + 7 + 2 + 620 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 74181 + ... + 84579.

It is an arithmetic number, because the mean of its divisors is an integer number (16736720).

Almost surely, 2^825472620 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 825472620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506304800).

825472620 is an abundant number, since it is smaller than the sum of its proper divisors (2187136980).

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

825472620 is a wasteful number, since it uses less digits than its factorization.

825472620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10434 (or 10416 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 825472620 is about 28731.0393129103. The cubic root of 825472620 is about 938.0677904522.

The spelling of 825472620 in words is "eight hundred twenty-five million, four hundred seventy-two thousand, six hundred twenty".