840102516 has 126 divisors (see below), whose sum is σ = 2423882706. Its totient is φ = 254469600.

The previous prime is 840102443. The next prime is 840102521. The reversal of 840102516 is 615201048.

840102516 is a `hidden beast` number, since 8 + 40 + 102 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 432224100 + 407878416 = 20790^2 + 20196^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 840102516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 351646 + ... + 354026.

Almost surely, 2^840102516 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 840102516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211941353).

840102516 is an abundant number, since it is smaller than the sum of its proper divisors (1583780190).

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

840102516 is a wasteful number, since it uses less digits than its factorization.

840102516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 840102516 is about 28984.5220074439. The cubic root of 840102516 is about 943.5771785587.

The spelling of 840102516 in words is "eight hundred forty million, one hundred two thousand, five hundred sixteen".