1964525640 has 256 divisors, whose sum is σ = 7499520000. Its totient is φ = 408119040.

The previous prime is 1964525623. The next prime is 1964525659. The reversal of 1964525640 is 465254691.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1964525592 and 1964525601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450591 + ... + 454929.

It is an arithmetic number, because the mean of its divisors is an integer number (29295000).

Almost surely, 2^1964525640 is an apocalyptic number.

1964525640 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 1964525640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760000).

1964525640 is an abundant number, since it is smaller than the sum of its proper divisors (5534994360).

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

1964525640 is a wasteful number, since it uses less digits than its factorization.

1964525640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4385 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 1964525640 is about 44322.9696658516. The cubic root of 1964525640 is about 1252.4274195893.

The spelling of 1964525640 in words is "one billion, nine hundred sixty-four million, five hundred twenty-five thousand, six hundred forty".