616972500 has 180 divisors, whose sum is σ = 2064754692. Its totient is φ = 154752000.

The previous prime is 616972481. The next prime is 616972511. The reversal of 616972500 is 5279616.

616972500 is a `hidden beast` number, since 61 + 6 + 97 + 2 + 500 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 353364804 + 263607696 = 18798^2 + 16236^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

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 59 ways as a sum of consecutive naturals, for example, 381694 + ... + 383306.

Almost surely, 2^616972500 is an apocalyptic number.

616972500 is a gapful number since it is divisible by the number (60) 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 616972500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032377346).

616972500 is an abundant number, since it is smaller than the sum of its proper divisors (1447782192).

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

616972500 is a wasteful number, since it uses less digits than its factorization.

616972500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 616972500 is about 24838.9311364237. The cubic root of 616972500 is about 851.3117002636.

The spelling of 616972500 in words is "six hundred sixteen million, nine hundred seventy-two thousand, five hundred".