19963440 has 240 divisors, whose sum is σ = 81476928. Its totient is φ = 4276224.

The previous prime is 19963439. The next prime is 19963469. The reversal of 19963440 is 4436991.

19963440 = T₂₃₉ + T₂₄₀ + ... + T₅₁₀.

19963440 is a `hidden beast` number, since 19 + 9 + 634 + 4 + 0 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 19963395 and 19963404.

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, 85564 + ... + 85796.

Almost surely, 2^19963440 is an apocalyptic number.

19963440 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 19963440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40738464).

19963440 is an abundant number, since it is smaller than the sum of its proper divisors (61513488).

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

19963440 is a wasteful number, since it uses less digits than its factorization.

19963440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 19963440 is about 4468.0465530252. The cubic root of 19963440 is about 271.2762622607.

The spelling of 19963440 in words is "nineteen million, nine hundred sixty-three thousand, four hundred forty".