37121616 has 90 divisors (see below), whose sum is σ = 120873402. Its totient is φ = 10604160.

The previous prime is 37121603. The next prime is 37121621. The reversal of 37121616 is 61612173.

37121616 is a `hidden beast` number, since 37 + 12 + 1 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34574400 + 2547216 = 5880^2 + 1596^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 37121616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4426 + ... + 9686.

Almost surely, 2^37121616 is an apocalyptic number.

37121616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37121616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60436701).

37121616 is an abundant number, since it is smaller than the sum of its proper divisors (83751786).

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

37121616 is a wasteful number, since it uses less digits than its factorization.

37121616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5289 (or 5273 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 37121616 is about 6092.7511027450. The cubic root of 37121616 is about 333.5868773197.

Adding to 37121616 its reverse (61612173), we get a palindrome (98733789).

The spelling of 37121616 in words is "thirty-seven million, one hundred twenty-one thousand, six hundred sixteen".