1964979324 has 240 divisors, whose sum is σ = 6491950080. Its totient is φ = 503418240.

The previous prime is 1964979319. The next prime is 1964979347. The reversal of 1964979324 is 4239794691.

It is a super-2 number, since 2×1964979324² = 7722287487494993952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1970394 + ... + 1971390.

It is an arithmetic number, because the mean of its divisors is an integer number (27049792).

Almost surely, 2^1964979324 is an apocalyptic number.

1964979324 is a gapful number since it is divisible by the number (14) 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 1964979324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245975040).

1964979324 is an abundant number, since it is smaller than the sum of its proper divisors (4526970756).

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

1964979324 is a wasteful number, since it uses less digits than its factorization.

1964979324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1099 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 1964979324 is about 44328.0873036498. The cubic root of 1964979324 is about 1252.5238232767.

The spelling of 1964979324 in words is "one billion, nine hundred sixty-four million, nine hundred seventy-nine thousand, three hundred twenty-four".