61607952 has 100 divisors (see below), whose sum is σ = 203814336. Its totient is φ = 17599680.

The previous prime is 61607951. The next prime is 61607957. The reversal of 61607952 is 25970616.

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

It is not an unprimeable number, because it can be changed into a prime (61607951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5677 + ... + 12467.

Almost surely, 2^61607952 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 61607952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101907168).

61607952 is an abundant number, since it is smaller than the sum of its proper divisors (142206384).

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

61607952 is a wasteful number, since it uses less digits than its factorization.

61607952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6818 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 61607952 is about 7849.0733210998. The cubic root of 61607952 is about 394.9531579341.

The spelling of 61607952 in words is "sixty-one million, six hundred seven thousand, nine hundred fifty-two".