152633680 has 80 divisors (see below), whose sum is σ = 363976704. Its totient is φ = 59512320.

The previous prime is 152633653. The next prime is 152633683. The reversal of 152633680 is 86336251.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152633683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843190 + ... + 843370.

Almost surely, 2^152633680 is an apocalyptic number.

152633680 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 152633680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181988352).

152633680 is an abundant number, since it is smaller than the sum of its proper divisors (211343024).

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

152633680 is a wasteful number, since it uses less digits than its factorization.

152633680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 152633680 is about 12354.5003945931. The cubic root of 152633680 is about 534.4209299236.

The spelling of 152633680 in words is "one hundred fifty-two million, six hundred thirty-three thousand, six hundred eighty".