1050150624 has 96 divisors (see below), whose sum is σ = 2815132320. Its totient is φ = 342681600.

The previous prime is 1050150599. The next prime is 1050150641. The reversal of 1050150624 is 4260510501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1050150624² = 2205632666175178752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1050150594 and 1050150603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2277754 + ... + 2278214.

It is an arithmetic number, because the mean of its divisors is an integer number (29324295).

Almost surely, 2^1050150624 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 1050150624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407566160).

1050150624 is an abundant number, since it is smaller than the sum of its proper divisors (1764981696).

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

1050150624 is a wasteful number, since it uses less digits than its factorization.

1050150624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1050150624 is about 32406.0275874721. The cubic root of 1050150624 is about 1016.4449556609. Note that the first 3 decimals are identical.

The spelling of 1050150624 in words is "one billion, fifty million, one hundred fifty thousand, six hundred twenty-four".