273572640 has 480 divisors, whose sum is σ = 1119666240. Its totient is φ = 62208000.

The previous prime is 273572639. The next prime is 273572693. The reversal of 273572640 is 46275372.

It is a happy number.

273572640 is a `hidden beast` number, since 2 + 7 + 3 + 5 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×273572640³ (a number of 26 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 273572595 and 273572604.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2708590 + ... + 2708690.

It is an arithmetic number, because the mean of its divisors is an integer number (2332638).

Almost surely, 2^273572640 is an apocalyptic number.

273572640 is a gapful number since it is divisible by the number (20) 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 273572640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559833120).

273572640 is an abundant number, since it is smaller than the sum of its proper divisors (846093600).

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

273572640 is a wasteful number, since it uses less digits than its factorization.

273572640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 273572640 is about 16540.0314389060. The cubic root of 273572640 is about 649.1686729154.

The spelling of 273572640 in words is "two hundred seventy-three million, five hundred seventy-two thousand, six hundred forty".