64883136 has 56 divisors (see below), whose sum is σ = 173644560. Its totient is φ = 21379072.

The previous prime is 64883129. The next prime is 64883141. The reversal of 64883136 is 63138846.

64883136 is a nontrivial binomial coefficient, being equal to C(11392, 2).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 64883094 and 64883103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15190 + ... + 18986.

Almost surely, 2^64883136 is an apocalyptic number.

64883136 is the 11391-st triangular number and also the 5696-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64883136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86822280).

64883136 is an abundant number, since it is smaller than the sum of its proper divisors (108761424).

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

64883136 is a wasteful number, since it uses less digits than its factorization.

64883136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901 (or 3891 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 64883136 is about 8055.0068901274. The cubic root of 64883136 is about 401.8314681790.

The spelling of 64883136 in words is "sixty-four million, eight hundred eighty-three thousand, one hundred thirty-six".