40236960 has 96 divisors (see below), whose sum is σ = 134229312. Its totient is φ = 10096640.

The previous prime is 40236953. The next prime is 40236967. The reversal of 40236960 is 6963204.

It is an interprime number because it is at equal distance from previous prime (40236953) and next prime (40236967).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (40236967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5695 + ... + 10625.

It is an arithmetic number, because the mean of its divisors is an integer number (1398222).

Almost surely, 2^40236960 is an apocalyptic number.

40236960 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 40236960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67114656).

40236960 is an abundant number, since it is smaller than the sum of its proper divisors (93992352).

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

40236960 is a wasteful number, since it uses less digits than its factorization.

40236960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4966 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 40236960 is about 6343.2609910045. The cubic root of 40236960 is about 342.6691866627.

The spelling of 40236960 in words is "forty million, two hundred thirty-six thousand, nine hundred sixty".