14780640 has 192 divisors, whose sum is σ = 54867456. Its totient is φ = 3274752.

The previous prime is 14780609. The next prime is 14780653. The reversal of 14780640 is 4608741.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14780598 and 14780607.

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, 178039 + ... + 178121.

It is an arithmetic number, because the mean of its divisors is an integer number (285768).

Almost surely, 2^14780640 is an apocalyptic number.

14780640 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 14780640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27433728).

14780640 is an abundant number, since it is smaller than the sum of its proper divisors (40086816).

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

14780640 is a wasteful number, since it uses less digits than its factorization.

14780640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 14780640 is about 3844.5597927461. The cubic root of 14780640 is about 245.4131028673.

The spelling of 14780640 in words is "fourteen million, seven hundred eighty thousand, six hundred forty".