153085680 has 320 divisors, whose sum is σ = 610675200. Its totient is φ = 34836480.

The previous prime is 153085651. The next prime is 153085703. The reversal of 153085680 is 86580351.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403731 + ... + 404109.

It is an arithmetic number, because the mean of its divisors is an integer number (1908360).

Almost surely, 2^153085680 is an apocalyptic number.

153085680 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 153085680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305337600).

153085680 is an abundant number, since it is smaller than the sum of its proper divisors (457589520).

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

153085680 is a wasteful number, since it uses less digits than its factorization.

153085680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 153085680 is about 12372.7798008370. The cubic root of 153085680 is about 534.9479438097.

The spelling of 153085680 in words is "one hundred fifty-three million, eighty-five thousand, six hundred eighty".