749664 has 72 divisors (see below), whose sum is σ = 2260440. Its totient is φ = 235008.

The previous prime is 749659. The next prime is 749677. The reversal of 749664 is 466947.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×749664² = 1123992225792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

749664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5404 + ... + 5540.

It is an arithmetic number, because the mean of its divisors is an integer number (31395).

2⁷⁴⁹⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130220).

749664 is an abundant number, since it is smaller than the sum of its proper divisors (1510776).

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

749664 is a wasteful number, since it uses less digits than its factorization.

749664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 749664 is about 865.8313923623. The cubic root of 749664 is about 90.8424597812.

Adding to 749664 its sum of digits (36), we get a triangular number (749700 = T₁₂₂₄).

The spelling of 749664 in words is "seven hundred forty-nine thousand, six hundred sixty-four".