1023201624 has 64 divisors (see below), whose sum is σ = 2665405440. Its totient is φ = 326954880.

The previous prime is 1023201581. The next prime is 1023201631. The reversal of 1023201624 is 4261023201.

It is a self number, because there is not a number n which added to its sum of digits gives 1023201624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73182 + ... + 86034.

It is an arithmetic number, because the mean of its divisors is an integer number (41646960).

Almost surely, 2^1023201624 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 1023201624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332702720).

1023201624 is an abundant number, since it is smaller than the sum of its proper divisors (1642203816).

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

1023201624 is a wasteful number, since it uses less digits than its factorization.

1023201624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13000 (or 12996 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1023201624 is about 31987.5229425475. The cubic root of 1023201624 is about 1007.6748210981.

Adding to 1023201624 its reverse (4261023201), we get a palindrome (5284224825).

The spelling of 1023201624 in words is "one billion, twenty-three million, two hundred one thousand, six hundred twenty-four".