5829120 has 240 divisors, whose sum is σ = 22980672. Its totient is φ = 1351680.

The previous prime is 5829119. The next prime is 5829121. The reversal of 5829120 is 219285.

5829120 = T₂₆₉ + T₂₇₀ + ... + T₃₇₈.

It is an interprime number because it is at equal distance from previous prime (5829119) and next prime (5829121).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5829121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253429 + ... + 253451.

Almost surely, 2^5829120 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 5829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11490336).

5829120 is an abundant number, since it is smaller than the sum of its proper divisors (17151552).

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

5829120 is a wasteful number, since it uses less digits than its factorization.

5829120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5829120 is about 2414.3570572722. The cubic root of 5829120 is about 179.9703654917.

It can be divided in two parts, 58291 and 20, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 5829120 in words is "five million, eight hundred twenty-nine thousand, one hundred twenty".