10614464 has 112 divisors (see below), whose sum is σ = 26822400. Its totient is φ = 4064256.

The previous prime is 10614463. The next prime is 10614467. The reversal of 10614464 is 46441601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10614464² = 225333692014592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10614463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246827 + ... + 246869.

Almost surely, 2^10614464 is an apocalyptic number.

10614464 is a gapful number since it is divisible by the number (14) 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 10614464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13411200).

10614464 is an abundant number, since it is smaller than the sum of its proper divisors (16207936).

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

10614464 is a wasteful number, since it uses less digits than its factorization.

10614464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 10614464 is about 3257.9846531253. The cubic root of 10614464 is about 219.7687929127.

The spelling of 10614464 in words is "ten million, six hundred fourteen thousand, four hundred sixty-four".