240092640 has 192 divisors, whose sum is σ = 848232000. Its totient is φ = 63424512.

The previous prime is 240092627. The next prime is 240092651. The reversal of 240092640 is 46290042.

240092640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643494 + ... + 643866.

It is an arithmetic number, because the mean of its divisors is an integer number (4417875).

Almost surely, 2^240092640 is an apocalyptic number.

240092640 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 240092640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424116000).

240092640 is an abundant number, since it is smaller than the sum of its proper divisors (608139360).

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

240092640 is a wasteful number, since it uses less digits than its factorization.

240092640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 240092640 is about 15494.9230394991. The cubic root of 240092640 is about 621.5264503547.

The spelling of 240092640 in words is "two hundred forty million, ninety-two thousand, six hundred forty".