1964765120 has 224 divisors, whose sum is σ = 5103668736. Its totient is φ = 718848000.

The previous prime is 1964765093. The next prime is 1964765147. The reversal of 1964765120 is 215674691.

It is an interprime number because it is at equal distance from previous prime (1964765093) and next prime (1964765147).

It is a super-2 number, since 2×1964765120² = 7720603953537228800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19453070 + ... + 19453170.

Almost surely, 2^1964765120 is an apocalyptic number.

1964765120 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 1964765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551834368).

1964765120 is an abundant number, since it is smaller than the sum of its proper divisors (3138903616).

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

1964765120 is a wasteful number, since it uses less digits than its factorization.

1964765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 1964765120 is about 44325.6711173108. The cubic root of 1964765120 is about 1252.4783087413.

The spelling of 1964765120 in words is "one billion, nine hundred sixty-four million, seven hundred sixty-five thousand, one hundred twenty".