1964657424 has 80 divisors (see below), whose sum is σ = 5396118912. Its totient is φ = 614575104.

The previous prime is 1964657423. The next prime is 1964657473. The reversal of 1964657424 is 4247564691.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1964657423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41724 + ... + 75300.

Almost surely, 2^1964657424 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 1964657424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698059456).

1964657424 is an abundant number, since it is smaller than the sum of its proper divisors (3431461488).

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

1964657424 is a wasteful number, since it uses less digits than its factorization.

1964657424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33664 (or 33658 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 1964657424 is about 44324.4562741609. The cubic root of 1964657424 is about 1252.4554240095.

The spelling of 1964657424 in words is "one billion, nine hundred sixty-four million, six hundred fifty-seven thousand, four hundred twenty-four".