1022575032 has 192 divisors, whose sum is σ = 3032640000. Its totient is φ = 310286592.

The previous prime is 1022575013. The next prime is 1022575033. The reversal of 1022575032 is 2305752201.

1022575032 is a `hidden beast` number, since 102 + 2 + 57 + 503 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1022574987 and 1022575005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022575033) 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, 5138469 + ... + 5138667.

It is an arithmetic number, because the mean of its divisors is an integer number (15795000).

Almost surely, 2^1022575032 is an apocalyptic number.

1022575032 is a gapful number since it is divisible by the number (12) 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 1022575032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516320000).

1022575032 is an abundant number, since it is smaller than the sum of its proper divisors (2010064968).

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

1022575032 is a wasteful number, since it uses less digits than its factorization.

1022575032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 1022575032 is about 31977.7271237341. The cubic root of 1022575032 is about 1007.4690845495.

The spelling of 1022575032 in words is "one billion, twenty-two million, five hundred seventy-five thousand, thirty-two".