1968532940 has 48 divisors (see below), whose sum is σ = 4531209984. Its totient is φ = 712420800.

The previous prime is 1968532931. The next prime is 1968532949. The reversal of 1968532940 is 492358691.

It is an interprime number because it is at equal distance from previous prime (1968532931) and next prime (1968532949).

It is not an unprimeable number, because it can be changed into a prime (1968532949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25217 + ... + 67623.

It is an arithmetic number, because the mean of its divisors is an integer number (94400208).

Almost surely, 2^1968532940 is an apocalyptic number.

1968532940 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 1968532940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265604992).

1968532940 is an abundant number, since it is smaller than the sum of its proper divisors (2562677044).

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

1968532940 is a wasteful number, since it uses less digits than its factorization.

1968532940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42638 (or 42636 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 47.

The square root of 1968532940 is about 44368.1523167238. The cubic root of 1968532940 is about 1253.2784212462.

It can be divided in two parts, 19685 and 32940, that added together give a palindrome (52625).

The spelling of 1968532940 in words is "one billion, nine hundred sixty-eight million, five hundred thirty-two thousand, nine hundred forty".