1034550144 has 112 divisors (see below), whose sum is σ = 3090391920. Its totient is φ = 344818944.

The previous prime is 1034550131. The next prime is 1034550211. The reversal of 1034550144 is 4410554301.

It is a happy number.

1034550144 is a `hidden beast` number, since 103 + 4 + 550 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 13 ways as a sum of consecutive naturals, for example, 87769 + ... + 98855.

It is an arithmetic number, because the mean of its divisors is an integer number (27592785).

Almost surely, 2^1034550144 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 1034550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545195960).

1034550144 is an abundant number, since it is smaller than the sum of its proper divisors (2055841776).

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

1034550144 is an frugal number, since it uses more digits than its factorization.

1034550144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11119 (or 11092 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1034550144 is about 32164.4235763677. The cubic root of 1034550144 is about 1011.3865686173.

The spelling of 1034550144 in words is "one billion, thirty-four million, five hundred fifty thousand, one hundred forty-four".