15749664 has 96 divisors (see below), whose sum is σ = 49351680. Its totient is φ = 4300032.

The previous prime is 15749663. The next prime is 15749693. The reversal of 15749664 is 46694751.

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

It is a super-2 number, since 2×15749664² = 496103832225792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15749663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14947 + ... + 15965.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 2^15749664 is an apocalyptic number.

15749664 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 15749664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675840).

15749664 is an abundant number, since it is smaller than the sum of its proper divisors (33602016).

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

15749664 is a wasteful number, since it uses less digits than its factorization.

15749664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1054 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 15749664 is about 3968.5846343501. The cubic root of 15749664 is about 250.6631142296.

The spelling of 15749664 in words is "fifteen million, seven hundred forty-nine thousand, six hundred sixty-four".