62004096 has 256 divisors, whose sum is σ = 229132800. Its totient is φ = 16035840.

The previous prime is 62004079. The next prime is 62004109. The reversal of 62004096 is 69040026.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265996 + ... + 266228.

It is an arithmetic number, because the mean of its divisors is an integer number (895050).

Almost surely, 2^62004096 is an apocalyptic number.

62004096 is a gapful number since it is divisible by the number (66) 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 62004096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114566400).

62004096 is an abundant number, since it is smaller than the sum of its proper divisors (167128704).

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

62004096 is a wasteful number, since it uses less digits than its factorization.

62004096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 62004096 is about 7874.2679659763. The cubic root of 62004096 is about 395.7978766492.

It can be divided in two parts, 6200 and 4096, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 62004096 in words is "sixty-two million, four thousand, ninety-six".