616424832 has 192 divisors, whose sum is σ = 1880161920. Its totient is φ = 193536000.

The previous prime is 616424803. The next prime is 616424849. The reversal of 616424832 is 238424616.

616424832 is a `hidden beast` number, since 6 + 1 + 642 + 4 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1463982 + ... + 1464402.

It is an arithmetic number, because the mean of its divisors is an integer number (9792510).

Almost surely, 2^616424832 is an apocalyptic number.

616424832 is a gapful number since it is divisible by the number (62) 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 616424832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940080960).

616424832 is an abundant number, since it is smaller than the sum of its proper divisors (1263737088).

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

616424832 is a wasteful number, since it uses less digits than its factorization.

616424832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 498 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 616424832 is about 24827.9043014105. The cubic root of 616424832 is about 851.0597310651.

The spelling of 616424832 in words is "six hundred sixteen million, four hundred twenty-four thousand, eight hundred thirty-two".