1964315136 has 120 divisors (see below), whose sum is σ = 6087668400. Its totient is φ = 561211392.

The previous prime is 1964315117. The next prime is 1964315137. The reversal of 1964315136 is 6315134691.

It is a junction number, because it is equal to n+sod(n) for n = 1964315094 and 1964315103.

It is not an unprimeable number, because it can be changed into a prime (1964315137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62215 + ... + 88313.

It is an arithmetic number, because the mean of its divisors is an integer number (50730570).

Almost surely, 2^1964315136 is an apocalyptic number.

1964315136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1964315136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043834200).

1964315136 is an abundant number, since it is smaller than the sum of its proper divisors (4123353264).

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

1964315136 is an equidigital number, since it uses as much as digits as its factorization.

1964315136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26134 (or 26111 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 1964315136 is about 44320.5949418552. The cubic root of 1964315136 is about 1252.3826843797.

The spelling of 1964315136 in words is "one billion, nine hundred sixty-four million, three hundred fifteen thousand, one hundred thirty-six".