36467840 has 64 divisors (see below), whose sum is σ = 91800000. Its totient is φ = 13814784.

The previous prime is 36467833. The next prime is 36467863. The reversal of 36467840 is 4876463.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 36467794 and 36467803.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10661 + ... + 13659.

It is an arithmetic number, because the mean of its divisors is an integer number (1434375).

Almost surely, 2^36467840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45900000).

36467840 is an abundant number, since it is smaller than the sum of its proper divisors (55332160).

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

36467840 is a wasteful number, since it uses less digits than its factorization.

36467840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 36467840 is about 6038.8608197242. The cubic root of 36467840 is about 331.6169191594.

The spelling of 36467840 in words is "thirty-six million, four hundred sixty-seven thousand, eight hundred forty".