1964986920 has 192 divisors, whose sum is σ = 6905742480. Its totient is φ = 481701888.

The previous prime is 1964986913. The next prime is 1964986943. The reversal of 1964986920 is 296894691.

1964986920 is a `hidden beast` number, since 1 + 96 + 498 + 69 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1345275684 + 619711236 = 36678^2 + 24894^2 .

It is a super-2 number, since 2×1964986920² = 7722347191542172800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1370524 + ... + 1371956.

Almost surely, 2^1964986920 is an apocalyptic number.

1964986920 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 1964986920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3452871240).

1964986920 is an abundant number, since it is smaller than the sum of its proper divisors (4940755560).

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

1964986920 is a wasteful number, since it uses less digits than its factorization.

1964986920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 1964986920 is about 44328.1729828785. The cubic root of 1964986920 is about 1252.5254372306.

The spelling of 1964986920 in words is "one billion, nine hundred sixty-four million, nine hundred eighty-six thousand, nine hundred twenty".