64292130 has 320 divisors, whose sum is σ = 225815040. Its totient is φ = 12773376.

The previous prime is 64292119. The next prime is 64292149. The reversal of 64292130 is 3129246.

64292130 is a `hidden beast` number, since 642 + 9 + 2 + 13 + 0 = 666.

64292130 is a nontrivial binomial coefficient, being equal to C(11340, 2).

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

It is a junction number, because it is equal to n+sod(n) for n = 64292094 and 64292103.

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 159 ways as a sum of consecutive naturals, for example, 2216956 + ... + 2216984.

It is an arithmetic number, because the mean of its divisors is an integer number (705672).

Almost surely, 2^64292130 is an apocalyptic number.

64292130 is the 11339-th triangular number and also the 5670-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64292130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112907520).

64292130 is an abundant number, since it is smaller than the sum of its proper divisors (161522910).

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

64292130 is a wasteful number, since it uses less digits than its factorization.

64292130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 64292130 is about 8018.2373374701. The cubic root of 64292130 is about 400.6076805102.

The spelling of 64292130 in words is "sixty-four million, two hundred ninety-two thousand, one hundred thirty".