964124160 has 160 divisors (see below), whose sum is σ = 3148941312. Its totient is φ = 251535360.

The previous prime is 964124153. The next prime is 964124167. The reversal of 964124160 is 61421469.

964124160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (964124153) and next prime (964124167).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964124167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359625 + ... + 362295.

Almost surely, 2^964124160 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 964124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574470656).

964124160 is an abundant number, since it is smaller than the sum of its proper divisors (2184817152).

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

964124160 is a wasteful number, since it uses less digits than its factorization.

964124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 964124160 is about 31050.3487903115. The cubic root of 964124160 is about 987.8954579131.

The spelling of 964124160 in words is "nine hundred sixty-four million, one hundred twenty-four thousand, one hundred sixty".