152867680 has 96 divisors (see below), whose sum is σ = 422936640. Its totient is φ = 51118080.

The previous prime is 152867633. The next prime is 152867681. The reversal of 152867680 is 86768251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152867681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44256 + ... + 47584.

It is an arithmetic number, because the mean of its divisors is an integer number (4405590).

Almost surely, 2^152867680 is an apocalyptic number.

152867680 is a gapful number since it is divisible by the number (10) 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 152867680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211468320).

152867680 is an abundant number, since it is smaller than the sum of its proper divisors (270068960).

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

152867680 is a wasteful number, since it uses less digits than its factorization.

152867680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 152867680 is about 12363.9670009265. The cubic root of 152867680 is about 534.6938942429.

The spelling of 152867680 in words is "one hundred fifty-two million, eight hundred sixty-seven thousand, six hundred eighty".