42392664 has 96 divisors (see below), whose sum is σ = 120744000. Its totient is φ = 13418496.

The previous prime is 42392659. The next prime is 42392677. The reversal of 42392664 is 46629324.

It is a super-2 number, since 2×42392664² = 3594275922033792, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164824 + ... + 165080.

It is an arithmetic number, because the mean of its divisors is an integer number (1257750).

Almost surely, 2^42392664 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 42392664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60372000).

42392664 is an abundant number, since it is smaller than the sum of its proper divisors (78351336).

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

42392664 is a wasteful number, since it uses less digits than its factorization.

42392664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 370 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 42392664 is about 6510.9649054499. The cubic root of 42392664 is about 348.6825683787.

It can be divided in two parts, 4239 and 2664, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 42392664 in words is "forty-two million, three hundred ninety-two thousand, six hundred sixty-four".