36861552 has 240 divisors, whose sum is σ = 132699840. Its totient is φ = 9289728.

The previous prime is 36861551. The next prime is 36861589. The reversal of 36861552 is 25516863.

36861552 is a `hidden beast` number, since 36 + 8 + 615 + 5 + 2 = 666.

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

Its product of digits (43200) is a multiple of the sum of its prime factors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36861551) 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, 379968 + ... + 380064.

It is an arithmetic number, because the mean of its divisors is an integer number (552916).

Almost surely, 2^36861552 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 36861552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66349920).

36861552 is an abundant number, since it is smaller than the sum of its proper divisors (95838288).

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

36861552 is a wasteful number, since it uses less digits than its factorization.

36861552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 151 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 36861552 is about 6071.3715089755. The cubic root of 36861552 is about 332.8060445617.

The spelling of 36861552 in words is "thirty-six million, eight hundred sixty-one thousand, five hundred fifty-two".