36601400 has 96 divisors (see below), whose sum is σ = 94279680. Its totient is φ = 13104000.

The previous prime is 36601387. The next prime is 36601427. The reversal of 36601400 is 410663.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

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, 279335 + ... + 279465.

It is an arithmetic number, because the mean of its divisors is an integer number (982080).

Almost surely, 2^36601400 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 36601400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47139840).

36601400 is an abundant number, since it is smaller than the sum of its proper divisors (57678280).

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

36601400 is a wasteful number, since it uses less digits than its factorization.

36601400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 36601400 is about 6049.9090902261. The cubic root of 36601400 is about 332.0212644240.

The spelling of 36601400 in words is "thirty-six million, six hundred one thousand, four hundred".