14961408 has 216 divisors, whose sum is σ = 52195584. Its totient is φ = 3717120.

The previous prime is 14961391. The next prime is 14961421. The reversal of 14961408 is 80416941.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650485 + ... + 650507.

Almost surely, 2^14961408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14961408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26097792).

14961408 is an abundant number, since it is smaller than the sum of its proper divisors (37234176).

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

14961408 is a wasteful number, since it uses less digits than its factorization.

14961408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 14961408 is about 3867.9979317471. The cubic root of 14961408 is about 246.4095234414.

The spelling of 14961408 in words is "fourteen million, nine hundred sixty-one thousand, four hundred eight".