964181540 has 96 divisors (see below), whose sum is σ = 2376380160. Its totient is φ = 321785856.

The previous prime is 964181539. The next prime is 964181563. The reversal of 964181540 is 45181469.

964181540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 964181494 and 964181503.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 932864 + ... + 933896.

It is an arithmetic number, because the mean of its divisors is an integer number (24753960).

Almost surely, 2^964181540 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 964181540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188190080).

964181540 is an abundant number, since it is smaller than the sum of its proper divisors (1412198620).

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

964181540 is a wasteful number, since it uses less digits than its factorization.

964181540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 964181540 is about 31051.2727597437. The cubic root of 964181540 is about 987.9150557752.

The spelling of 964181540 in words is "nine hundred sixty-four million, one hundred eighty-one thousand, five hundred forty".