1961692240 has 160 divisors (see below), whose sum is σ = 5013964800. Its totient is φ = 710922240.

The previous prime is 1961692231. The next prime is 1961692261. The reversal of 1961692240 is 422961691.

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 = 1961692193 and 1961692202.

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, 8419164 + ... + 8419396.

It is an arithmetic number, because the mean of its divisors is an integer number (31337280).

Almost surely, 2^1961692240 is an apocalyptic number.

1961692240 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 1961692240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506982400).

1961692240 is an abundant number, since it is smaller than the sum of its proper divisors (3052272560).

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

1961692240 is a wasteful number, since it uses less digits than its factorization.

1961692240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 1961692240 is about 44290.9950215617. The cubic root of 1961692240 is about 1251.8250120348.

The spelling of 1961692240 in words is "one billion, nine hundred sixty-one million, six hundred ninety-two thousand, two hundred forty".