616401576 has 192 divisors, whose sum is σ = 2019168000. Its totient is φ = 175869792.

The previous prime is 616401571. The next prime is 616401593. The reversal of 616401576 is 675104616.

616401576 is a `hidden beast` number, since 6 + 1 + 640 + 1 + 5 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 616401576.

It is not an unprimeable number, because it can be changed into a prime (616401571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856945 + ... + 857663.

It is an arithmetic number, because the mean of its divisors is an integer number (10516500).

Almost surely, 2^616401576 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 616401576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009584000).

616401576 is an abundant number, since it is smaller than the sum of its proper divisors (1402766424).

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

616401576 is an equidigital number, since it uses as much as digits as its factorization.

616401576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 616401576 is about 24827.4359529936. The cubic root of 616401576 is about 851.0490282224.

The spelling of 616401576 in words is "six hundred sixteen million, four hundred one thousand, five hundred seventy-six".