61652640 has 192 divisors, whose sum is σ = 226437120. Its totient is φ = 13808640.

The previous prime is 61652623. The next prime is 61652641. The reversal of 61652640 is 4625616.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 61652598 and 61652607.

It is not an unprimeable number, because it can be changed into a prime (61652641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198085 + ... + 198395.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^61652640 is an apocalyptic number.

61652640 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 61652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

61652640 is an abundant number, since it is smaller than the sum of its proper divisors (164784480).

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

61652640 is a wasteful number, since it uses less digits than its factorization.

61652640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 61652640 is about 7851.9195105401. The cubic root of 61652640 is about 395.0486293811.

The spelling of 61652640 in words is "sixty-one million, six hundred fifty-two thousand, six hundred forty".