240277632 has 128 divisors (see below), whose sum is σ = 740275200. Its totient is φ = 67630080.

The previous prime is 240277627. The next prime is 240277649. The reversal of 240277632 is 236772042.

240277632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×240277632³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240277593 and 240277602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190219 + ... + 191477.

It is an arithmetic number, because the mean of its divisors is an integer number (5783400).

Almost surely, 2^240277632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240277632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370137600).

240277632 is an abundant number, since it is smaller than the sum of its proper divisors (499997568).

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

240277632 is a wasteful number, since it uses less digits than its factorization.

240277632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 240277632 is about 15500.8913292107. The cubic root of 240277632 is about 621.6860386197.

The spelling of 240277632 in words is "two hundred forty million, two hundred seventy-seven thousand, six hundred thirty-two".