10451616 has 96 divisors (see below), whose sum is σ = 31868928. Its totient is φ = 2937600.

The previous prime is 10451599. The next prime is 10451627. The reversal of 10451616 is 61615401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10451616² = 218472554022912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69141 + ... + 69291.

It is an arithmetic number, because the mean of its divisors is an integer number (331968).

Almost surely, 2^10451616 is an apocalyptic number.

10451616 is a gapful number since it is divisible by the number (16) 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 10451616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15934464).

10451616 is an abundant number, since it is smaller than the sum of its proper divisors (21417312).

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

10451616 is a wasteful number, since it uses less digits than its factorization.

10451616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 10451616 is about 3232.8959154294. The cubic root of 10451616 is about 218.6390919687.

The spelling of 10451616 in words is "ten million, four hundred fifty-one thousand, six hundred sixteen".