742664 has 32 divisors (see below), whose sum is σ = 1548120. Its totient is φ = 331776.

The previous prime is 742663. The next prime is 742673. The reversal of 742664 is 466247.

742664 is nontrivially palindromic in base 7 and base 15.

It can be written as a sum of positive squares in 4 ways, for example, as 574564 + 168100 = 758^2 + 410^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (742663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3752 + ... + 3944.

2⁷⁴²⁶⁶⁴ is an apocalyptic number.

742664 is a gapful number since it is divisible by the number (74) 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 742664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774060).

742664 is an abundant number, since it is smaller than the sum of its proper divisors (805456).

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

742664 is a wasteful number, since it uses less digits than its factorization.

742664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 245 counting only the distinct ones).

The product of its digits is 8064, while the sum is 29.

The square root of 742664 is about 861.7795541784. The cubic root of 742664 is about 90.5588274767.

It can be divided in two parts, 74 and 2664, that multiplied together give a square (197136 = 444²).

The spelling of 742664 in words is "seven hundred forty-two thousand, six hundred sixty-four".