42965640 has 160 divisors (see below), whose sum is σ = 147015000. Its totient is φ = 11252736.

The previous prime is 42965627. The next prime is 42965653. The reversal of 42965640 is 4656924.

42965640 is a `hidden beast` number, since 4 + 2 + 9 + 6 + 5 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (42965627) and next prime (42965653).

It can be written as a sum of positive squares in 4 ways, for example, as 18818244 + 24147396 = 4338^2 + 4914^2 .

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 = 42965595 and 42965604.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 288286 + ... + 288434.

Almost surely, 2^42965640 is an apocalyptic number.

42965640 is a gapful number since it is divisible by the number (40) 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 42965640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73507500).

42965640 is an abundant number, since it is smaller than the sum of its proper divisors (104049360).

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

42965640 is a wasteful number, since it uses less digits than its factorization.

42965640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 42965640 is about 6554.8180752787. The cubic root of 42965640 is about 350.2464658567.

The spelling of 42965640 in words is "forty-two million, nine hundred sixty-five thousand, six hundred forty".