1139034624 has 320 divisors, whose sum is σ = 3877251840. Its totient is φ = 289013760.

The previous prime is 1139034593. The next prime is 1139034649. The reversal of 1139034624 is 4264309311.

It is a super-3 number, since 3×1139034624³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4053364 + ... + 4053644.

It is an arithmetic number, because the mean of its divisors is an integer number (12116412).

Almost surely, 2^1139034624 is an apocalyptic number.

1139034624 is a gapful number since it is divisible by the number (14) 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 1139034624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938625920).

1139034624 is an abundant number, since it is smaller than the sum of its proper divisors (2738217216).

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

1139034624 is a wasteful number, since it uses less digits than its factorization.

1139034624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 1139034624 is about 33749.5870196955. The cubic root of 1139034624 is about 1044.3489680576.

The spelling of 1139034624 in words is "one billion, one hundred thirty-nine million, thirty-four thousand, six hundred twenty-four".