61952640 has 128 divisors (see below), whose sum is σ = 202547520. Its totient is φ = 16097280.

The previous prime is 61952629. The next prime is 61952647. The reversal of 61952640 is 4625916.

It is a Cunningham number, because it is equal to 7871²-1.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (61952647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78327 + ... + 79113.

Almost surely, 2^61952640 is an apocalyptic number.

61952640 is a gapful number since it is divisible by the number (60) 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 61952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101273760).

61952640 is an abundant number, since it is smaller than the sum of its proper divisors (140594880).

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

61952640 is a wasteful number, since it uses less digits than its factorization.

61952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 61952640 is about 7870.9999364757. Note that the first 4 decimals coincide. The cubic root of 61952640 is about 395.6883580137.

The spelling of 61952640 in words is "sixty-one million, nine hundred fifty-two thousand, six hundred forty".