40768560 has 120 divisors (see below), whose sum is σ = 156492960. Its totient is φ = 9317376.

The previous prime is 40768543. The next prime is 40768571. The reversal of 40768560 is 6586704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 996 + ... + 9084.

It is an arithmetic number, because the mean of its divisors is an integer number (1304108).

Almost surely, 2^40768560 is an apocalyptic number.

40768560 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 40768560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78246480).

40768560 is an abundant number, since it is smaller than the sum of its proper divisors (115724400).

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

40768560 is a wasteful number, since it uses less digits than its factorization.

40768560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8115 (or 8106 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 40768560 is about 6385.0262333055. The cubic root of 40768560 is about 344.1716738213.

It can be divided in two parts, 40768 and 560, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 40768560 in words is "forty million, seven hundred sixty-eight thousand, five hundred sixty".