166507264 has 72 divisors (see below), whose sum is σ = 414425088. Its totient is φ = 64865280.

The previous prime is 166507259. The next prime is 166507267. The reversal of 166507264 is 462705661.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166507267) 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, 15489 + ... + 23935.

It is an arithmetic number, because the mean of its divisors is an integer number (5755904).

Almost surely, 2^166507264 is an apocalyptic number.

166507264 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 166507264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207212544).

166507264 is an abundant number, since it is smaller than the sum of its proper divisors (247917824).

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

166507264 is an equidigital number, since it uses as much as digits as its factorization.

166507264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8481 (or 8467 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 166507264 is about 12903.7693717766. The cubic root of 166507264 is about 550.1457068503.

The spelling of 166507264 in words is "one hundred sixty-six million, five hundred seven thousand, two hundred sixty-four".