1964034540 has 240 divisors, whose sum is σ = 6685066080. Its totient is φ = 479831040.

The previous prime is 1964034529. The next prime is 1964034547. The reversal of 1964034540 is 454304691.

1964034540 is a `hidden beast` number, since 1 + 9 + 640 + 3 + 4 + 5 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1964034495 and 1964034504.

It is not an unprimeable number, because it can be changed into a prime (1964034547) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3769480 + ... + 3770000.

It is an arithmetic number, because the mean of its divisors is an integer number (27854442).

Almost surely, 2^1964034540 is an apocalyptic number.

1964034540 is a gapful number since it is divisible by the number (10) 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 1964034540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342533040).

1964034540 is an abundant number, since it is smaller than the sum of its proper divisors (4721031540).

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

1964034540 is a wasteful number, since it uses less digits than its factorization.

1964034540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1964034540 is about 44317.4293027021. The cubic root of 1964034540 is about 1252.3230486150.

The spelling of 1964034540 in words is "one billion, nine hundred sixty-four million, thirty-four thousand, five hundred forty".