1880616960 has 416 divisors, whose sum is σ = 7077024000. Its totient is φ = 472449024.

The previous prime is 1880616949. The next prime is 1880617009. The reversal of 1880616960 is 696160881.

It is a happy number.

It is a super-4 number, since 4×1880616960⁴ (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10506151 + ... + 10506329.

Almost surely, 2^1880616960 is an apocalyptic number.

1880616960 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 1880616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538512000).

1880616960 is an abundant number, since it is smaller than the sum of its proper divisors (5196407040).

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

1880616960 is a wasteful number, since it uses less digits than its factorization.

1880616960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1880616960 is about 43366.0807544330. The cubic root of 1880616960 is about 1234.3361531416.

The spelling of 1880616960 in words is "one billion, eight hundred eighty million, six hundred sixteen thousand, nine hundred sixty".