36673000 has 192 divisors, whose sum is σ = 109624320. Its totient is φ = 11232000.

The previous prime is 36672997. The next prime is 36673001. The reversal of 36673000 is 37663.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36673001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1182985 + ... + 1183015.

It is an arithmetic number, because the mean of its divisors is an integer number (570960).

Almost surely, 2^36673000 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 36673000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54812160).

36673000 is an abundant number, since it is smaller than the sum of its proper divisors (72951320).

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

36673000 is a wasteful number, since it uses less digits than its factorization.

36673000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 25.

The square root of 36673000 is about 6055.8236434031. The cubic root of 36673000 is about 332.2376244347.

The spelling of 36673000 in words is "thirty-six million, six hundred seventy-three thousand".