14953680 has 320 divisors, whose sum is σ = 62853120. Its totient is φ = 3193344.

The previous prime is 14953669. The next prime is 14953699. The reversal of 14953680 is 8635941.

14953680 = 102³ + 103³ + ... + 113³.

14953680 is a `hidden beast` number, since 1 + 49 + 536 + 80 = 666.

It is a super-2 number, since 2×14953680² = 447225091084800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 347739 + ... + 347781.

It is an arithmetic number, because the mean of its divisors is an integer number (196416).

Almost surely, 2^14953680 is an apocalyptic number.

14953680 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 14953680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31426560).

14953680 is an abundant number, since it is smaller than the sum of its proper divisors (47899440).

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

14953680 is a wasteful number, since it uses less digits than its factorization.

14953680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 14953680 is about 3866.9988363070. The cubic root of 14953680 is about 246.3670902525.

The spelling of 14953680 in words is "fourteen million, nine hundred fifty-three thousand, six hundred eighty".