153679680 has 630 divisors, whose sum is σ = 698983362. Its totient is φ = 31933440.

The previous prime is 153679567. The next prime is 153679693. The reversal of 153679680 is 86976351.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 122943744 + 30735936 = 11088^2 + 5544^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 13970875 + ... + 13970885.

Almost surely, 2^153679680 is an apocalyptic number.

153679680 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 153679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349491681).

153679680 is an abundant number, since it is smaller than the sum of its proper divisors (545303682).

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

153679680 is a wasteful number, since it uses less digits than its factorization.

153679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 153679680 is about 12396.7608672588. The cubic root of 153679680 is about 535.6389489488.

Multiplying 153679680 by its sum of digits (45), we get a square (6915585600 = 83160²).

153679680 divided by its sum of digits (45) gives a square (3415104 = 1848²).

The spelling of 153679680 in words is "one hundred fifty-three million, six hundred seventy-nine thousand, six hundred eighty".