83436987060 has 240 divisors, whose sum is σ = 304043456640. Its totient is φ = 18758511360.

The previous prime is 83436987017. The next prime is 83436987091. The reversal of 83436987060 is 6078963438.

83436987060 is a `hidden beast` number, since 83 + 436 + 9 + 8 + 70 + 60 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 83436986988 and 83436987006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 631431 + ... + 752049.

It is an arithmetic number, because the mean of its divisors is an integer number (1266847736).

Almost surely, 2^83436987060 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 83436987060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152021728320).

83436987060 is an abundant number, since it is smaller than the sum of its proper divisors (220606469580).

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

83436987060 is a wasteful number, since it uses less digits than its factorization.

83436987060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120708 (or 120697 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 83436987060 in words is "eighty-three billion, four hundred thirty-six million, nine hundred eighty-seven thousand, sixty".