964213038 has 64 divisors (see below), whose sum is σ = 2367429120. Its totient is φ = 289339776.

The previous prime is 964213027. The next prime is 964213039. The reversal of 964213038 is 830312469.

964213038 is a `hidden beast` number, since 9 + 642 + 1 + 3 + 0 + 3 + 8 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 964212993 and 964213011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964213039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1720 + ... + 43947.

It is an arithmetic number, because the mean of its divisors is an integer number (36991080).

Almost surely, 2^964213038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964213038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183714560).

964213038 is an abundant number, since it is smaller than the sum of its proper divisors (1403216082).

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

964213038 is a wasteful number, since it uses less digits than its factorization.

964213038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45718 (or 45712 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 964213038 is about 31051.7799489820. The cubic root of 964213038 is about 987.9258134345.

The spelling of 964213038 in words is "nine hundred sixty-four million, two hundred thirteen thousand, thirty-eight".