1960752640 has 400 divisors, whose sum is σ = 6189313680. Its totient is φ = 590069760.

The previous prime is 1960752539. The next prime is 1960752643. The reversal of 1960752640 is 462570691.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1960752593 and 1960752602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1960752643) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67612146 + ... + 67612174.

Almost surely, 2^1960752640 is an apocalyptic number.

1960752640 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 1960752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094656840).

1960752640 is an abundant number, since it is smaller than the sum of its proper divisors (4228561040).

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

1960752640 is an frugal number, since it uses more digits than its factorization.

1960752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 1960752640 is about 44280.3866288451. The cubic root of 1960752640 is about 1251.6251161491.

The spelling of 1960752640 in words is "one billion, nine hundred sixty million, seven hundred fifty-two thousand, six hundred forty".