40001764 has 48 divisors (see below), whose sum is σ = 81849600. Its totient is φ = 16912800.

The previous prime is 40001743. The next prime is 40001771. The reversal of 40001764 is 46710004.

It is a super-2 number, since 2×40001764² = 3200282246223392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 48919 + ... + 49729.

It is an arithmetic number, because the mean of its divisors is an integer number (1705200).

Almost surely, 2^40001764 is an apocalyptic number.

40001764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40001764 is an abundant number, since it is smaller than the sum of its proper divisors (41847836).

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

40001764 is a wasteful number, since it uses less digits than its factorization.

40001764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 40001764 is about 6324.6947752441. The cubic root of 40001764 is about 342.0002165907. Note that the first 3 decimals are identical.

Adding to 40001764 its reverse (46710004), we get a palindrome (86711768).

The spelling of 40001764 in words is "forty million, one thousand, seven hundred sixty-four".