19902960 has 240 divisors, whose sum is σ = 83566080. Its totient is φ = 4124160.

The previous prime is 19902947. The next prime is 19902977. The reversal of 19902960 is 6920991.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×19902960² = 792255633523200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55261 + ... + 55619.

It is an arithmetic number, because the mean of its divisors is an integer number (348192).

Almost surely, 2^19902960 is an apocalyptic number.

19902960 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 19902960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41783040).

19902960 is an abundant number, since it is smaller than the sum of its proper divisors (63663120).

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

19902960 is a wasteful number, since it uses less digits than its factorization.

19902960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 19902960 is about 4461.2733608242. The cubic root of 19902960 is about 271.0020379017.

It can be divided in two parts, 1990 and 2960, that added together give a triangular number (4950 = T₉₉).

The spelling of 19902960 in words is "nineteen million, nine hundred two thousand, nine hundred sixty".