84024616900 has 243 divisors, whose sum is σ = 219575341461. Its totient is φ = 27827520000.

The previous prime is 84024616831. The next prime is 84024616901. The reversal of 84024616900 is 961642048.

The square root of 84024616900 is 289870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 51992208324 + 32032408576 = 228018^2 + 178976^2 .

It is a super-2 number, since 2×84024616900² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84024616901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 831926850 + ... + 831926950.

Almost surely, 2^84024616900 is an apocalyptic number.

84024616900 is the 289870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84024616900

84024616900 is an abundant number, since it is smaller than the sum of its proper divisors (135550724561).

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

84024616900 is a wasteful number, since it uses less digits than its factorization.

84024616900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 84024616900 in words is "eighty-four billion, twenty-four million, six hundred sixteen thousand, nine hundred".