64157940 has 192 divisors, whose sum is σ = 249016320. Its totient is φ = 13322880.

The previous prime is 64157939. The next prime is 64157953. The reversal of 64157940 is 4975146.

64157940 is a `hidden beast` number, since 6 + 41 + 579 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 64157895 and 64157904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40809 + ... + 42351.

It is an arithmetic number, because the mean of its divisors is an integer number (1296960).

Almost surely, 2^64157940 is an apocalyptic number.

64157940 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 64157940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124508160).

64157940 is an abundant number, since it is smaller than the sum of its proper divisors (184858380).

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

64157940 is a wasteful number, since it uses less digits than its factorization.

64157940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 64157940 is about 8009.8651674045. The cubic root of 64157940 is about 400.3287713661.

The spelling of 64157940 in words is "sixty-four million, one hundred fifty-seven thousand, nine hundred forty".